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138975904296 = 23329521202733
BaseRepresentation
bin1000000101101110011…
…1000000001000101000
3111021201110200102112200
42001123213000020220
54234110312414141
6143502235540200
713016644460355
oct2013347001050
9437643612480
10138975904296
1153a37302959
1222b268ba660
131014a6693c8
146a2560b62c
153935d80ab6
hex205b9c0228

138975904296 has 48 divisors (see below), whose sum is σ = 376434463860. Its totient is φ = 46320207360.

The previous prime is 138975904261. The next prime is 138975904357. The reversal of 138975904296 is 692409579831.

138975904296 is a `hidden beast` number, since 1 + 38 + 9 + 7 + 590 + 4 + 2 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 138969401796 + 6502500 = 372786^2 + 2550^2 .

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, 584146 + ... + 786878.

It is a 1-persistent number, because it is pandigital, but 2⋅138975904296 = 277951808592 is not.

Almost surely, 2138975904296 is an apocalyptic number.

It is an amenable number.

138975904296 is an abundant number, since it is smaller than the sum of its proper divisors (237458559564).

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

138975904296 is a wasteful number, since it uses less digits than its factorization.

138975904296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212266 (or 212259 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 138975904296 in words is "one hundred thirty-eight billion, nine hundred seventy-five million, nine hundred four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 9521 19042 28563 38084 57126 76168 85689 114252 171378 202733 228504 342756 405466 608199 685512 810932 1216398 1621864 1824597 2432796 3649194 4865592 7298388 14596776 1930220893 3860441786 5790662679 7720883572 11581325358 15441767144 17371988037 23162650716 34743976074 46325301432 69487952148 138975904296