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137972558863090 = 25722798231006267
BaseRepresentation
bin11111010111110000111101…
…010111000001101011110010
3200002112001021212001111112001
4133113300331113001223302
5121041020300032104330
61205235415111124214
741030121426001300
oct3727607527015362
9602461255044461
10137972558863090
113aa649195a5116
121358400a97366a
135bca9aac83013
14260dc9c1a7270
1510e3eb238b9ca
hex7d7c3d5c1af2

137972558863090 has 48 divisors (see below), whose sum is σ = 288898963189632. Its totient is φ = 47304661261536.

The previous prime is 137972558863079. The next prime is 137972558863099. The reversal of 137972558863090 is 90368855279731.

It is not an unprimeable number, because it can be changed into a prime (137972558863099) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136610137 + ... + 137616403.

It is an arithmetic number, because the mean of its divisors is an integer number (6018728399784).

Almost surely, 2137972558863090 is an apocalyptic number.

137972558863090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137972558863090 is an abundant number, since it is smaller than the sum of its proper divisors (150926404326542).

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

137972558863090 is a wasteful number, since it uses less digits than its factorization.

137972558863090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286111 (or 1286104 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 73.

The spelling of 137972558863090 in words is "one hundred thirty-seven trillion, nine hundred seventy-two billion, five hundred fifty-eight million, eight hundred sixty-three thousand, ninety".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 279823 559646 1006267 1399115 1958761 2012534 2798230 3917522 5031335 7043869 9793805 10062670 13711327 14087738 19587610 27422654 35219345 49307083 68556635 70438690 98614166 137113270 246535415 493070830 281576650741 563153301482 1407883253705 1971036555187 2815766507410 3942073110374 9855182775935 13797255886309 19710365551870 27594511772618 68986279431545 137972558863090