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138773115765 = 3258831349207
BaseRepresentation
bin1000000100111110000…
…1011011001101110101
3111021012100002200222100
42001033201123031311
54233201404201030
6143430153252313
713011633010224
oct2011741331565
9437170080870
10138773115765
1153942895929
1222a8aa04099
1310117646aab
146a06700cbb
153923175360
hex204f85b375

138773115765 has 24 divisors (see below), whose sum is σ = 240567994368. Its totient is φ = 74003735520.

The previous prime is 138773115703. The next prime is 138773115791. The reversal of 138773115765 is 567511377831.

138773115765 is a `hidden beast` number, since 1 + 38 + 7 + 7 + 31 + 1 + 576 + 5 = 666.

138773115765 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138773115765 - 29 = 138773115253 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222792 + ... + 571998.

It is an arithmetic number, because the mean of its divisors is an integer number (10023666432).

Almost surely, 2138773115765 is an apocalyptic number.

138773115765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138773115765 is a deficient number, since it is larger than the sum of its proper divisors (101794878603).

138773115765 is a wasteful number, since it uses less digits than its factorization.

138773115765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358049 (or 358046 counting only the distinct ones).

The product of its digits is 3704400, while the sum is 54.

It can be divided in two parts, 13877311 and 5765, that added together give a square (13883076 = 37262).

The spelling of 138773115765 in words is "one hundred thirty-eight billion, seven hundred seventy-three million, one hundred fifteen thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 15 45 8831 26493 44155 79479 132465 349207 397395 1047621 1746035 3142863 5238105 15714315 3083847017 9251541051 15419235085 27754623153 46257705255 138773115765