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137669535252 = 22341724994469
BaseRepresentation
bin1000000000110110111…
…1100110011000010100
3111011100102112000010000
42000031233212120110
54223421400112002
6143124451531300
712642402512304
oct2001557463024
9434312460100
10137669535252
1153426955517
12228212b9b30
13cc9cb11482
14693dd0d604
1538ab33361c
hex200dbe6614

137669535252 has 60 divisors (see below), whose sum is σ = 381065689620. Its totient is φ = 43190440704.

The previous prime is 137669535239. The next prime is 137669535277. The reversal of 137669535252 is 252535966731.

137669535252 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 69 + 53 + 525 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78777894276 + 58891640976 = 280674^2 + 242676^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12491727 + ... + 12502742.

It is an arithmetic number, because the mean of its divisors is an integer number (6351094827).

Almost surely, 2137669535252 is an apocalyptic number.

137669535252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137669535252 is an abundant number, since it is smaller than the sum of its proper divisors (243396154368).

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

137669535252 is a wasteful number, since it uses less digits than its factorization.

137669535252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24994502 (or 24994491 counting only the distinct ones).

The product of its digits is 10206000, while the sum is 54.

The spelling of 137669535252 in words is "one hundred thirty-seven billion, six hundred sixty-nine million, five hundred thirty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 5508 24994469 49988938 74983407 99977876 149966814 224950221 299933628 424905973 449900442 674850663 849811946 899800884 1274717919 1349701326 1699623892 2024551989 2549435838 2699402652 3824153757 4049103978 5098871676 7648307514 8098207956 11472461271 15296615028 22944922542 34417383813 45889845084 68834767626 137669535252