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150160663152 = 24327925751361
BaseRepresentation
bin1000101111011001000…
…1011110001001110000
3112100120221210001021200
42023312101132021300
54430012112210102
6152552144051200
713564056401643
oct2136621361160
9470527701250
10150160663152
1158756863815
1225128603b00
1311210942a06
1473a6c53a5a
153d8cc6851c
hex22f645e270

150160663152 has 120 divisors (see below), whose sum is σ = 427225007040. Its totient is φ = 49226711040.

The previous prime is 150160663151. The next prime is 150160663157. The reversal of 150160663152 is 251366061051.

150160663152 is a `hidden beast` number, since 1 + 5 + 0 + 16 + 0 + 6 + 631 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150160663151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2897952 + ... + 2949312.

It is an arithmetic number, because the mean of its divisors is an integer number (3560208392).

Almost surely, 2150160663152 is an apocalyptic number.

150160663152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150160663152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213612503520).

150160663152 is an abundant number, since it is smaller than the sum of its proper divisors (277064343888).

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

150160663152 is a wasteful number, since it uses less digits than its factorization.

150160663152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51711 (or 51702 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 150160663152 in words is "one hundred fifty billion, one hundred sixty million, six hundred sixty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 257 316 474 514 632 711 771 948 1028 1264 1422 1542 1896 2056 2313 2844 3084 3792 4112 4626 5688 6168 9252 11376 12336 18504 20303 37008 40606 51361 60909 81212 102722 121818 154083 162424 182727 205444 243636 308166 324848 365454 410888 462249 487272 616332 730908 821776 924498 974544 1232664 1461816 1848996 2465328 2923632 3697992 4057519 7395984 8115038 12172557 13199777 16230076 24345114 26399554 32460152 36517671 39599331 48690228 52799108 64920304 73035342 79198662 97380456 105598216 118797993 146070684 158397324 194760912 211196432 237595986 292141368 316794648 475191972 584282736 633589296 950383944 1042782383 1900767888 2085564766 3128347149 4171129532 6256694298 8342259064 9385041447 12513388596 16684518128 18770082894 25026777192 37540165788 50053554384 75080331576 150160663152