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138917216656 = 24931792
BaseRepresentation
bin1000000101100000011…
…1001000000110010000
3111021120101020210020101
42001120013020012100
54234000301413111
6143452342022144
713015332600361
oct2013007100620
9437511223211
10138917216656
1153a07168a79
1222b0b117954
131013b45b8aa
146a1b8d1b68
153930b3bbc1
hex20581c8190

138917216656 has 15 divisors (see below), whose sum is σ = 269154995851. Its totient is φ = 69457862896.

The previous prime is 138917216591. The next prime is 138917216671. The reversal of 138917216656 is 656612719831.

The square root of 138917216656 is 372716.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 138917216597 and 138917216606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1444275 + ... + 1537453.

Almost surely, 2138917216656 is an apocalyptic number.

138917216656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

138917216656 is the 372716-th square number.

It is an amenable number.

138917216656 is a deficient number, since it is larger than the sum of its proper divisors (130237779195).

138917216656 is an frugal number, since it uses more digits than its factorization.

138917216656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186366 (or 93181 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 55.

The spelling of 138917216656 in words is "one hundred thirty-eight billion, nine hundred seventeen million, two hundred sixteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 93179 186358 372716 745432 1490864 8682326041 17364652082 34729304164 69458608328 138917216656