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20516552352 = 2532277257177
BaseRepresentation
bin10011000110111000…
…011011111010100000
31221221211111211212100
4103012320123322200
5314004214133402
613231500530400
71324263550302
oct230670337240
957854454770
1020516552352
11877907149a
123b86b50a00
131c1c706b0a
14dc8b49972
158012a371c
hex4c6e1bea0

20516552352 has 72 divisors (see below), whose sum is σ = 58554801396. Its totient is φ = 6814135296.

The previous prime is 20516552341. The next prime is 20516552363. The reversal of 20516552352 is 25325561502.

20516552352 is a `hidden beast` number, since 2 + 0 + 51 + 6 + 552 + 3 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (20516552341) and next prime (20516552363).

It can be written as a sum of positive squares in 2 ways, for example, as 18462287376 + 2054264976 = 135876^2 + 45324^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48813 + ... + 208364.

Almost surely, 220516552352 is an apocalyptic number.

It is an amenable number.

20516552352 is an abundant number, since it is smaller than the sum of its proper divisors (38038249044).

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

20516552352 is a wasteful number, since it uses less digits than its factorization.

20516552352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257470 (or 257459 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 20516552352 in words is "twenty billion, five hundred sixteen million, five hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 277 288 554 831 1108 1662 2216 2493 3324 4432 4986 6648 8864 9972 13296 19944 26592 39888 79776 257177 514354 771531 1028708 1543062 2057416 2314593 3086124 4114832 4629186 6172248 8229664 9258372 12344496 18516744 24688992 37033488 71238029 74066976 142476058 213714087 284952116 427428174 569904232 641142261 854856348 1139808464 1282284522 1709712696 2279616928 2564569044 3419425392 5129138088 6838850784 10258276176 20516552352