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185020003364 = 22722921122449
BaseRepresentation
bin1010110001010000001…
…1010011010000100100
3122200120100210000021012
42230110003103100210
511012410110101424
6220555204441352
716236653036300
oct2542403232044
9580510700235
10185020003364
1171514a71a99
122ba369a9258
13145a7987c41
148d527c6d00
154c2d2b1b0e
hex2b140d3424

185020003364 has 54 divisors (see below), whose sum is σ = 390083926050. Its totient is φ = 76559933184.

The previous prime is 185020003339. The next prime is 185020003409. The reversal of 185020003364 is 463300020581.

It can be written as a sum of positive squares in 3 ways, for example, as 51216216100 + 133803787264 = 226310^2 + 365792^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 185020003364.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 396389 + ... + 726060.

Almost surely, 2185020003364 is an apocalyptic number.

185020003364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

185020003364 is an abundant number, since it is smaller than the sum of its proper divisors (205063922686).

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

185020003364 is a wasteful number, since it uses less digits than its factorization.

185020003364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122525 (or 1122487 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 185020003364 in words is "one hundred eighty-five billion, twenty million, three thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 406 812 841 1421 1682 2842 3364 5684 5887 11774 23548 41209 82418 164836 1122449 2244898 4489796 7857143 15714286 31428572 32551021 55000001 65102042 110000002 130204084 220000004 227857147 455714294 911428588 943979609 1595000029 1887959218 3190000058 3775918436 6380000116 6607857263 13215714526 26431429052 46255000841 92510001682 185020003364