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138782969676 = 22381332983
BaseRepresentation
bin1000000101000000011…
…1000000111101001100
3111021020000122100000000
42001100013000331030
54233211420012201
6143431144404300
713012112530641
oct2012007007514
9437200570000
10138782969676
115394840625a
1222a92176690
13101196b7000
146a07b47dc8
153923e6ed86
hex20501c0f4c

138782969676 has 432 divisors, whose sum is σ = 413156671200. Its totient is φ = 40733207424.

The previous prime is 138782969651. The next prime is 138782969681. The reversal of 138782969676 is 676969287831.

138782969676 is a `hidden beast` number, since 1 + 387 + 8 + 2 + 96 + 96 + 76 = 666.

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 143 ways as a sum of consecutive naturals, for example, 1672083931 + ... + 1672084013.

Almost surely, 2138782969676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138782969676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206578335600).

138782969676 is an abundant number, since it is smaller than the sum of its proper divisors (274373701524).

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

138782969676 is an frugal number, since it uses more digits than its factorization.

138782969676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 130 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 72.

The spelling of 138782969676 in words is "one hundred thirty-eight billion, seven hundred eighty-two million, nine hundred sixty-nine thousand, six hundred seventy-six".