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137636548036 = 221321927512
BaseRepresentation
bin1000000000101111000…
…1110000110111000100
3111011021010110002011021
42000023301300313010
54223334424014121
6143121312520524
712641522232541
oct2001361606704
9434233402137
10137636548036
115340a274759
1222812250144
13cc96031900
1469397a3bc8
1538a84b9641
hex200bc70dc4

137636548036 has 81 divisors (see below), whose sum is σ = 275633913933. Its totient is φ = 60101028000.

The previous prime is 137636548019. The next prime is 137636548039. The reversal of 137636548036 is 630845636731.

The square root of 137636548036 is 370994.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20360436100 + 117276111936 = 142690^2 + 342456^2 .

It is a super-2 number, since 2×1376365480362 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137636548039) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 183270661 + ... + 183271411.

Almost surely, 2137636548036 is an apocalyptic number.

137636548036 is the 370994-th square number.

It is an amenable number.

137636548036 is an abundant number, since it is smaller than the sum of its proper divisors (137997365897).

137636548036 is an equidigital number, since it uses as much as digits as its factorization.

137636548036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 52.

The spelling of 137636548036 in words is "one hundred thirty-seven billion, six hundred thirty-six million, five hundred forty-eight thousand, thirty-six".

Divisors: 1 2 4 13 19 26 38 52 76 169 247 338 361 494 676 722 751 988 1444 1502 3004 3211 4693 6422 9386 9763 12844 14269 18772 19526 28538 39052 57076 61009 122018 126919 185497 244036 253838 271111 370994 507676 542222 564001 741988 1084444 1128002 2256004 2411461 3524443 4822922 7048886 7332013 9645844 10716019 14097772 14664026 21432038 29328052 42864076 45817759 91635518 95316169 139308247 183271036 190632338 203604361 278616494 381264676 407208722 557232988 814417444 1811007211 2646856693 3622014422 5293713386 7244028844 10587426772 34409137009 68818274018 137636548036