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456152201652 = 223715734588429
BaseRepresentation
bin1101010001101001100…
…10100011100110110100
31121121102000211202201010
412220310302203212310
524433144430423102
6545315312432220
744645606511510
oct6506462434664
91547360752633
10456152201652
111664a9031624
12744a4548670
1334026b66b74
1418113a01140
15bceb43cd6c
hex6a34ca39b4

456152201652 has 48 divisors (see below), whose sum is σ = 1224153714560. Its totient is φ = 129499074432.

The previous prime is 456152201629. The next prime is 456152201669. The reversal of 456152201652 is 256102251654.

It is a self number, because there is not a number n which added to its sum of digits gives 456152201652.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17281027 + ... + 17307402.

Almost surely, 2456152201652 is an apocalyptic number.

456152201652 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

456152201652 is an abundant number, since it is smaller than the sum of its proper divisors (768001512908).

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

456152201652 is a wasteful number, since it uses less digits than its factorization.

456152201652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34588600 (or 34588598 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 456152201652 in words is "four hundred fifty-six billion, one hundred fifty-two million, two hundred one thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 157 314 471 628 942 1099 1884 2198 3297 4396 6594 13188 34588429 69176858 103765287 138353716 207530574 242119003 415061148 484238006 726357009 968476012 1452714018 2905428036 5430383353 10860766706 16291150059 21721533412 32582300118 38012683471 65164600236 76025366942 114038050413 152050733884 228076100826 456152201652