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138839702544 = 2432310512
BaseRepresentation
bin1000000101001101111…
…1011011110000010000
3111021100222101122212100
42001103133123300100
54233320430440134
6143440532400400
713013401666614
oct2012337336020
9437328348770
10138839702544
1153977435524
1222aa9176100
131012838bb5a
146a114b5344
153928e29999
hex20537dbc10

138839702544 has 45 divisors (see below), whose sum is σ = 388570848159. Its totient is φ = 46278410400.

The previous prime is 138839702503. The next prime is 138839702567. The reversal of 138839702544 is 445207938831.

It is a happy number.

The square root of 138839702544 is 372612.

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

138839702544 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 3 + 97 + 0 + 2 + 544 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4455819 + ... + 4486869.

Almost surely, 2138839702544 is an apocalyptic number.

138839702544 is the 372612-nd square number.

It is an amenable number.

138839702544 is an abundant number, since it is smaller than the sum of its proper divisors (249731145615).

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

138839702544 is an frugal number, since it uses more digits than its factorization.

138839702544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62116 (or 31056 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 138839702544 in words is "one hundred thirty-eight billion, eight hundred thirty-nine million, seven hundred two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 31051 62102 93153 124204 186306 248408 279459 372612 496816 558918 745224 1117836 1490448 2235672 4471344 964164601 1928329202 2892493803 3856658404 5784987606 7713316808 8677481409 11569975212 15426633616 17354962818 23139950424 34709925636 46279900848 69419851272 138839702544