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18586020102 = 2313113218661
BaseRepresentation
bin10001010011110100…
…000010100100000110
31202222021212122110220
4101103310002210012
5301031010120402
612312134525210
71225402364346
oct212364024406
952867778426
1018586020102
117978361aa1
123728506806
1319a2772c40
14c845b4d26
1573ba63dbc
hex453d02906

18586020102 has 48 divisors (see below), whose sum is σ = 40390987728. Its totient is φ = 5667863040.

The previous prime is 18586020097. The next prime is 18586020107. The reversal of 18586020102 is 20102068581.

It is an interprime number because it is at equal distance from previous prime (18586020097) and next prime (18586020107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18586020107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 986652 + ... + 1005312.

It is an arithmetic number, because the mean of its divisors is an integer number (841478911).

Almost surely, 218586020102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18586020102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20195493864).

18586020102 is an abundant number, since it is smaller than the sum of its proper divisors (21804967626).

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

18586020102 is a wasteful number, since it uses less digits than its factorization.

18586020102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18905 (or 18792 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

Adding to 18586020102 its reverse (20102068581), we get a palindrome (38688088683).

The spelling of 18586020102 in words is "eighteen billion, five hundred eighty-six million, twenty thousand, one hundred two".

Divisors: 1 2 3 6 13 26 39 78 113 226 339 678 1469 2938 4407 8814 12769 18661 25538 37322 38307 55983 76614 111966 165997 242593 331994 485186 497991 727779 995982 1455558 2108693 4217386 6326079 12652158 27413009 54826018 82239027 164478054 238282309 476564618 714846927 1429693854 3097670017 6195340034 9293010051 18586020102