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138829097715 = 35711210927123
BaseRepresentation
bin1000000101001011011…
…0111110101011110011
3111021100020102212202220
42001102312332223303
54233310222111330
6143435513212123
713013212601010
oct2012266765363
9437306385686
10138829097715
1153971451a00
1222aa5701043
1310126117bc9
146a0dd14707
153928032710
hex2052dbeaf3

138829097715 has 48 divisors (see below), whose sum is σ = 279035038464. Its totient is φ = 57695204160.

The previous prime is 138829097713. The next prime is 138829097717. The reversal of 138829097715 is 517790928831.

It is an interprime number because it is at equal distance from previous prime (138829097713) and next prime (138829097717).

It is not a de Polignac number, because 138829097715 - 21 = 138829097713 is a prime.

It is a super-2 number, since 2×1388290977152 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138829097713) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5450857 + ... + 5476266.

It is an arithmetic number, because the mean of its divisors is an integer number (5813229968).

Almost surely, 2138829097715 is an apocalyptic number.

138829097715 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138829097715 is an abundant number, since it is smaller than the sum of its proper divisors (140205940749).

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

138829097715 is a wasteful number, since it uses less digits than its factorization.

138829097715 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10927160 (or 10927149 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 60.

The spelling of 138829097715 in words is "one hundred thirty-eight billion, eight hundred twenty-nine million, ninety-seven thousand, seven hundred fifteen".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 121 165 231 363 385 605 847 1155 1815 2541 4235 12705 10927123 32781369 54635615 76489861 120198353 163906845 229469583 360595059 382449305 600991765 841388471 1147347915 1322181883 1802975295 2524165413 3966545649 4206942355 6610909415 9255273181 12620827065 19832728245 27765819543 46276365905 138829097715