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138688754952 = 233111730902129
BaseRepresentation
bin1000000100101001111…
…1100111010100001000
3111020222110100201200210
42001022133213110020
54233013310124302
6143413541201120
713006556652306
oct2011237472410
9436873321623
10138688754952
11538aa206350
1222a667001a0
131010301a857
1469d9421276
15391aa5e66c
hex204a7e7508

138688754952 has 64 divisors (see below), whose sum is σ = 400491604800. Its totient is φ = 39554723840.

The previous prime is 138688754909. The next prime is 138688754957. The reversal of 138688754952 is 259457886831.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (138688754957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15446577 + ... + 15455552.

It is an arithmetic number, because the mean of its divisors is an integer number (6257681325).

Almost surely, 2138688754952 is an apocalyptic number.

138688754952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138688754952 is an abundant number, since it is smaller than the sum of its proper divisors (261802849848).

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

138688754952 is a wasteful number, since it uses less digits than its factorization.

138688754952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30902166 (or 30902162 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 66.

The spelling of 138688754952 in words is "one hundred thirty-eight billion, six hundred eighty-eight million, seven hundred fifty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 4488 30902129 61804258 92706387 123608516 185412774 247217032 339923419 370825548 525336193 679846838 741651096 1019770257 1050672386 1359693676 1576008579 2039540514 2101344772 2719387352 3152017158 4079081028 4202689544 5778698123 6304034316 8158162056 11557396246 12608068632 17336094369 23114792492 34672188738 46229584984 69344377476 138688754952