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138790522116 = 223668992
BaseRepresentation
bin1000000101000010001…
…1110100110100000100
3111021020112212001000000
42001100203310310010
54233220333201431
6143432014321300
713012233654501
oct2012043646404
9437215761000
10138790522116
11539516a4544
1222a947b9230
131011b12c7cc
146a08b524a8
1539249629e6
hex20508f4d04

138790522116 has 63 divisors (see below), whose sum is σ = 364211325751. Its totient is φ = 46256801544.

The previous prime is 138790522111. The next prime is 138790522133. The reversal of 138790522116 is 611225097831.

The square root of 138790522116 is 372546.

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

138790522116 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 9 + 0 + 522 + 116 = 666.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138790522111) by changing a digit.

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 20 ways as a sum of consecutive naturals, for example, 20114035 + ... + 20120933.

Almost surely, 2138790522116 is an apocalyptic number.

138790522116 is the 372546-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138790522116

138790522116 is an abundant number, since it is smaller than the sum of its proper divisors (225420803635).

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

138790522116 is an frugal number, since it uses more digits than its factorization.

138790522116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13820 (or 6904 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 138790522116 in words is "one hundred thirty-eight billion, seven hundred ninety million, five hundred twenty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 6899 13798 20697 27596 41394 62091 82788 124182 186273 248364 372546 558819 745092 1117638 1676457 2235276 3352914 5029371 6705828 10058742 20117484 47596201 95192402 142788603 190384804 285577206 428365809 571154412 856731618 1285097427 1713463236 2570194854 3855292281 5140389708 7710584562 11565876843 15421169124 23131753686 34697630529 46263507372 69395261058 138790522116