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460661502252 = 223722927015101
BaseRepresentation
bin1101011010000011001…
…00001011000100101100
31122001001021212222020110
412231001210023010230
530021413321033002
6551342554420020
745165423106500
oct6550144130454
91561037788213
10460661502252
11168402454936
1275342731610
1334595148a83
141842084c300
15beb2266e6c
hex6b4190b12c

460661502252 has 72 divisors (see below), whose sum is σ = 1293483083760. Its totient is φ = 127079030400.

The previous prime is 460661502247. The next prime is 460661502269. The reversal of 460661502252 is 252205166064.

It is a self number, because there is not a number n which added to its sum of digits gives 460661502252.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13490499 + ... + 13524602.

It is an arithmetic number, because the mean of its divisors is an integer number (17965042830).

Almost surely, 2460661502252 is an apocalyptic number.

460661502252 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

460661502252 is an abundant number, since it is smaller than the sum of its proper divisors (832821581508).

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

460661502252 is a wasteful number, since it uses less digits than its factorization.

460661502252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27015151 (or 27015142 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 460661502252 in words is "four hundred sixty billion, six hundred sixty-one million, five hundred two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 294 348 406 588 609 812 1218 1421 2436 2842 4263 5684 8526 17052 27015101 54030202 81045303 108060404 162090606 189105707 324181212 378211414 567317121 756422828 783437929 1134634242 1323739949 1566875858 2269268484 2350313787 2647479898 3133751716 3971219847 4700627574 5294959796 5484065503 7942439694 9401255148 10968131006 15884879388 16452196509 21936262012 32904393018 38388458521 65808786036 76776917042 115165375563 153553834084 230330751126 460661502252