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138992113368 = 233216711559557
BaseRepresentation
bin1000000101110010010…
…0110101011011011000
3111021202121011221012200
42001130210311123120
54234123440111433
6143504015210200
713020232320213
oct2013444653330
9437677157180
10138992113368
1153a45473a89
1222b30216960
1310150b23184
146a2782a77a
1539374d3613
hex205c9356d8

138992113368 has 48 divisors (see below), whose sum is σ = 378691120080. Its totient is φ = 46053271104.

The previous prime is 138992113361. The next prime is 138992113397. The reversal of 138992113368 is 863311299831.

138992113368 is a `hidden beast` number, since 1 + 3 + 8 + 99 + 211 + 336 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138992113361) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5767755 + ... + 5791802.

It is an arithmetic number, because the mean of its divisors is an integer number (7889398335).

Almost surely, 2138992113368 is an apocalyptic number.

138992113368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138992113368 is an abundant number, since it is smaller than the sum of its proper divisors (239699006712).

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

138992113368 is a wasteful number, since it uses less digits than its factorization.

138992113368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11559736 (or 11559729 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The spelling of 138992113368 in words is "one hundred thirty-eight billion, nine hundred ninety-two million, one hundred thirteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 167 334 501 668 1002 1336 1503 2004 3006 4008 6012 12024 11559557 23119114 34678671 46238228 69357342 92476456 104036013 138714684 208072026 277429368 416144052 832288104 1930446019 3860892038 5791338057 7721784076 11582676114 15443568152 17374014171 23165352228 34748028342 46330704456 69496056684 138992113368