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152670249912 = 233174128373217
BaseRepresentation
bin1000111000101111011…
…0110010001110111000
3112121001212000021010110
42032023312302032320
510000132040444122
6154045153144320
714013211466265
oct2161366621670
9477055007113
10152670249912
1159824415464
1225708b5b0a0
131152084a8ab
14756427c26c
153e8823990c
hex238bdb23b8

152670249912 has 128 divisors (see below), whose sum is σ = 414258546240. Its totient is φ = 46697349120.

The previous prime is 152670249889. The next prime is 152670249913. The reversal of 152670249912 is 219942076251.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152670249913) 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, 47455728 + ... + 47458944.

Almost surely, 2152670249912 is an apocalyptic number.

152670249912 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 152670249912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207129273120).

152670249912 is an abundant number, since it is smaller than the sum of its proper divisors (261588296328).

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

152670249912 is a wasteful number, since it uses less digits than its factorization.

152670249912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6121 (or 6117 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 152670249912 in words is "one hundred fifty-two billion, six hundred seventy million, two hundred forty-nine thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 41 51 68 82 102 123 136 164 204 246 328 408 492 697 984 1394 2091 2788 2837 3217 4182 5576 5674 6434 8364 8511 9651 11348 12868 16728 17022 19302 22696 25736 34044 38604 48229 54689 68088 77208 96458 109378 116317 131897 144687 164067 192916 218756 232634 263794 289374 328134 348951 385832 395691 437512 465268 527588 578748 656268 697902 791382 930536 1055176 1157496 1312536 1395804 1582764 1977389 2242249 2791608 3165528 3954778 4484498 5932167 6726747 7909556 8968996 9126629 11864334 13453494 15819112 17937992 18253258 23728668 26906988 27379887 36506516 47457336 53813976 54759774 73013032 109519548 155152693 219039096 310305386 374191789 465458079 620610772 748383578 930916158 1122575367 1241221544 1496767156 1861832316 2245150734 2993534312 3723664632 4490301468 6361260413 8980602936 12722520826 19083781239 25445041652 38167562478 50890083304 76335124956 152670249912