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148664614996224 = 2833178712035921
BaseRepresentation
bin100001110011010110101101…
…100100010100100100000000
3201111101012100121222220101000
4201303112231210110210000
5123441210112414334344
61244103325321012000
743212443514412455
oct4163265544244400
9644335317886330
10148664614996224
1143407344539aa8
1214810246924000
1364c502285a222
14289d59758582c
15122c193c78a69
hex8735ad914900

148664614996224 has 144 divisors (see below), whose sum is σ = 439873471275840. Its totient is φ = 49527136788480.

The previous prime is 148664614996201. The next prime is 148664614996229. The reversal of 148664614996224 is 422699416466841.

148664614996224 is a `hidden beast` number, since 1 + 4 + 8 + 66 + 461 + 49 + 9 + 62 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (148664614996229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6333784 + ... + 18369704.

It is an arithmetic number, because the mean of its divisors is an integer number (3054676883860).

Almost surely, 2148664614996224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148664614996224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219936735637920).

148664614996224 is an abundant number, since it is smaller than the sum of its proper divisors (291208856279616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

148664614996224 is a wasteful number, since it uses less digits than its factorization.

148664614996224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12037733 (or 12037713 counting only the distinct ones).

The product of its digits is 859963392, while the sum is 72.

The spelling of 148664614996224 in words is "one hundred forty-eight trillion, six hundred sixty-four billion, six hundred fourteen million, nine hundred ninety-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 1787 2304 3456 3574 5361 6912 7148 10722 14296 16083 21444 28592 32166 42888 48249 57184 64332 85776 96498 114368 128664 171552 192996 228736 257328 343104 385992 457472 514656 686208 771984 1029312 1372416 1543968 2058624 3087936 4117248 6175872 12035921 12351744 24071842 36107763 48143684 72215526 96287368 108323289 144431052 192574736 216646578 288862104 324969867 385149472 433293156 577724208 649939734 770298944 866586312 1155448416 1299879468 1540597888 1733172624 2310896832 2599758936 3081195776 3466345248 4621793664 5199517872 6932690496 9243587328 10399035744 13865380992 20798071488 21508190827 27730761984 41596142976 43016381654 64524572481 83192285952 86032763308 129049144962 172065526616 193573717443 258098289924 344131053232 387147434886 516196579848 580721152329 688262106464 774294869772 1032393159696 1161442304658 1376524212928 1548589739544 2064786319392 2322884609316 2753048425856 3097179479088 4129572638784 4645769218632 5506096851712 6194358958176 8259145277568 9291538437264 12388717916352 16518290555136 18583076874528 24777435832704 37166153749056 49554871665408 74332307498112 148664614996224