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152869110012 = 2232231511222679
BaseRepresentation
bin1000111001011110110…
…1011000000011111100
3112121120201012101220100
42032113231120003330
510001033443010022
6154121015321100
714021144665323
oct2162755300374
9477521171810
10152869110012
1159916699a53
1225763680190
1311552ac60a8
1475828450ba
153e9a91b1ac
hex2397b580fc

152869110012 has 72 divisors (see below), whose sum is σ = 405890634240. Its totient is φ = 48418048800.

The previous prime is 152869109971. The next prime is 152869110019. The reversal of 152869110012 is 210011968251.

152869110012 is a `hidden beast` number, since 1 + 528 + 6 + 9 + 110 + 0 + 12 = 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 (152869110019) 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, 486312 + ... + 736367.

It is an arithmetic number, because the mean of its divisors is an integer number (5637369920).

Almost surely, 2152869110012 is an apocalyptic number.

152869110012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152869110012 is an abundant number, since it is smaller than the sum of its proper divisors (253021524228).

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

152869110012 is a wasteful number, since it uses less digits than its factorization.

152869110012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222863 (or 1222858 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 152869110012 in words is "one hundred fifty-two billion, eight hundred sixty-nine million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 151 207 276 302 414 453 604 828 906 1359 1812 2718 3473 5436 6946 10419 13892 20838 31257 41676 62514 125028 1222679 2445358 3668037 4890716 7336074 11004111 14672148 22008222 28121617 44016444 56243234 84364851 112486468 168729702 184624529 253094553 337459404 369249058 506189106 553873587 738498116 1012378212 1107747174 1661620761 2215494348 3323241522 4246364167 6646483044 8492728334 12739092501 16985456668 25478185002 38217277503 50956370004 76434555006 152869110012