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148536384168 = 233131173347787
BaseRepresentation
bin1000101001010101110…
…1010101101010101000
3112012101202102010101210
42022111131111222220
54413200303243133
6152123042113120
713505604301464
oct2122535255250
9465352363353
10148536384168
1157aa2a09997
122495464b7a0
1311012288ca3
14729123d4a4
153ce5370763
hex2295755aa8

148536384168 has 128 divisors (see below), whose sum is σ = 377902609920. Its totient is φ = 48647489280.

The previous prime is 148536384167. The next prime is 148536384181. The reversal of 148536384168 is 861483635841.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (148536384167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188737071 + ... + 188737857.

It is an arithmetic number, because the mean of its divisors is an integer number (2952364140).

Almost surely, 2148536384168 is an apocalyptic number.

It is an amenable number.

148536384168 is an abundant number, since it is smaller than the sum of its proper divisors (229366225752).

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

148536384168 is a wasteful number, since it uses less digits than its factorization.

148536384168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447 (or 1443 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 57.

The spelling of 148536384168 in words is "one hundred forty-eight billion, five hundred thirty-six million, three hundred eighty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 131 173 262 346 347 393 519 524 692 694 786 787 1038 1041 1048 1384 1388 1572 1574 2076 2082 2361 2776 3144 3148 4152 4164 4722 6296 8328 9444 18888 22663 45326 45457 60031 67989 90652 90914 103097 120062 135978 136151 136371 180093 181304 181828 206194 240124 271956 272302 272742 273089 309291 360186 363656 408453 412388 480248 543912 544604 545484 546178 618582 720372 816906 819267 824776 1089208 1090968 1092356 1237164 1440744 1633812 1638534 2184712 2474328 3267624 3277068 6554136 7864061 15728122 17835781 23592183 31456244 35671562 35774659 47184366 47244397 53507343 62912488 71343124 71549318 94368732 94488794 107014686 107323977 141733191 142686248 143098636 188737464 188977588 214029372 214647954 283466382 286197272 377955176 428058744 429295908 566932764 858591816 1133865528 6189016007 12378032014 18567048021 24756064028 37134096042 49512128056 74268192084 148536384168