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138166830576 = 24323779253901
BaseRepresentation
bin1000000010101101100…
…0101000010111110000
3111012122002021020001100
42000223120220113300
54230431202034301
6143250054404400
712660621453015
oct2005330502760
9435562236040
10138166830576
1153661634895
122293b960700
131004bb5a468
146989d9d70c
1538d9d15286
hex202b6285f0

138166830576 has 60 divisors (see below), whose sum is σ = 386779072680. Its totient is φ = 46043241600.

The previous prime is 138166830563. The next prime is 138166830587. The reversal of 138166830576 is 675038661831.

138166830576 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 6 + 68 + 3 + 0 + 576 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 417226 + ... + 671126.

It is an arithmetic number, because the mean of its divisors is an integer number (6446317878).

Almost surely, 2138166830576 is an apocalyptic number.

138166830576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138166830576 is an abundant number, since it is smaller than the sum of its proper divisors (248612242104).

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

138166830576 is a wasteful number, since it uses less digits than its factorization.

138166830576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257694 (or 257685 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 138166830576 in words is "one hundred thirty-eight billion, one hundred sixty-six million, eight hundred thirty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3779 7558 11337 15116 22674 30232 34011 45348 60464 68022 90696 136044 181392 253901 272088 507802 544176 761703 1015604 1523406 2031208 2285109 3046812 4062416 4570218 6093624 9140436 12187248 18280872 36561744 959491879 1918983758 2878475637 3837967516 5756951274 7675935032 8635426911 11513902548 15351870064 17270853822 23027805096 34541707644 46055610192 69083415288 138166830576