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20586188052 = 2232757755401
BaseRepresentation
bin10011001011000010…
…000100110100010100
31222010200112201002100
4103023002010310110
5314130031004202
613242425242100
71326100465653
oct231302046424
958120481070
1020586188052
118804403861
123ba6333330
131c30c78881
14dd40b519a
1580745b41c
hex4cb084d14

20586188052 has 36 divisors (see below), whose sum is σ = 52106119156. Its totient is φ = 6852988800.

The previous prime is 20586188041. The next prime is 20586188107. The reversal of 20586188052 is 25088168502.

20586188052 is a `hidden beast` number, since 2 + 0 + 586 + 18 + 8 + 0 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4182726276 + 16403461776 = 64674^2 + 128076^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×205861880522 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20586187989 and 20586188007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 350449 + ... + 404952.

Almost surely, 220586188052 is an apocalyptic number.

It is an amenable number.

20586188052 is an abundant number, since it is smaller than the sum of its proper divisors (31519931104).

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

20586188052 is a wasteful number, since it uses less digits than its factorization.

20586188052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756168 (or 756163 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 20586188052 in words is "twenty billion, five hundred eighty-six million, one hundred eighty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 757 1514 2271 3028 4542 6813 9084 13626 27252 755401 1510802 2266203 3021604 4532406 6798609 9064812 13597218 27194436 571838557 1143677114 1715515671 2287354228 3431031342 5146547013 6862062684 10293094026 20586188052