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137758283679978 = 23313271483722833
BaseRepresentation
bin11111010100101001011001…
…100100000100100011101010
3200001202120012122111101012000
4133110221121210010203222
5121024012431110224403
61204553140514231430
741005464455666523
oct3724513144044352
9601676178441160
10137758283679978
113a991a61871625
121354a58a585576
135bb3720335c40
14260377225984a
1510dd620a787a3
hex7d4a599048ea

137758283679978 has 64 divisors (see below), whose sum is σ = 329679614302080. Its totient is φ = 42386949437184.

The previous prime is 137758283679977. The next prime is 137758283680013. The reversal of 137758283679978 is 879976382857731.

137758283679978 is a `hidden beast` number, since 1 + 3 + 7 + 75 + 8 + 28 + 367 + 99 + 78 = 666.

It is not an unprimeable number, because it can be changed into a prime (137758283679977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190219650 + ... + 190942482.

It is an arithmetic number, because the mean of its divisors is an integer number (5151243973470).

Almost surely, 2137758283679978 is an apocalyptic number.

137758283679978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

137758283679978 is an abundant number, since it is smaller than the sum of its proper divisors (191921330622102).

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

137758283679978 is a wasteful number, since it uses less digits than its factorization.

137758283679978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994340 (or 994334 counting only the distinct ones).

The product of its digits is 53770106880, while the sum is 90.

The spelling of 137758283679978 in words is "one hundred thirty-seven trillion, seven hundred fifty-eight billion, two hundred eighty-three million, six hundred seventy-nine thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 271483 542966 722833 814449 1445666 1628898 2168499 2443347 3529279 4336998 4886694 6505497 7058558 7330041 9396829 10587837 13010994 14660082 18793658 19516491 21175674 28190487 31763511 39032982 56380974 63527022 84571461 95290533 169142922 190581066 253714383 507428766 196236871339 392473742678 588710614017 1177421228034 1766131842051 2551079327407 3532263684102 5102158654814 5298395526153 7653237982221 10596791052306 15306475964442 22959713946663 45919427893326 68879141839989 137758283679978