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45957909920 = 2551322095149
BaseRepresentation
bin101010110011010011…
…100000110110100000
311101121212220201102212
4222303103200312200
51223110211104140
633040205301252
73214610534366
oct526323406640
9141555821385
1045957909920
1118544050a3a
128aa7264828
134445502350
14231d981636
1512deaa8765
hexab34e0da0

45957909920 has 48 divisors (see below), whose sum is σ = 116927533800. Its totient is φ = 16969073664.

The previous prime is 45957909919. The next prime is 45957909947. The reversal of 45957909920 is 2990975954.

It can be written as a sum of positive squares in 4 ways, for example, as 40624821136 + 5333088784 = 201556^2 + 73028^2 .

It is a super-2 number, since 2×459579099202 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45957909920.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11045495 + ... + 11049654.

Almost surely, 245957909920 is an apocalyptic number.

45957909920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45957909920 is an abundant number, since it is smaller than the sum of its proper divisors (70969623880).

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

45957909920 is a wasteful number, since it uses less digits than its factorization.

45957909920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22095177 (or 22095169 counting only the distinct ones).

The product of its (nonzero) digits is 9185400, while the sum is 59.

The spelling of 45957909920 in words is "forty-five billion, nine hundred fifty-seven million, nine hundred nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 22095149 44190298 88380596 110475745 176761192 220951490 287236937 353522384 441902980 574473874 707044768 883805960 1148947748 1436184685 1767611920 2297895496 2872369370 3535223840 4595790992 5744738740 9191581984 11489477480 22978954960 45957909920