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138013000776 = 233271971390027
BaseRepresentation
bin1000000010001000110…
…1110100010001001000
3111012020100210212020100
42000202031310101020
54230122312011101
6143222521325400
712654043102440
oct2004215642110
9435210725210
10138013000776
1153592817222
12228b8336860
131002601a301
146973799120
1538cb57ae86
hex2022374448

138013000776 has 96 divisors (see below), whose sum is σ = 429351848640. Its totient is φ = 39232093824.

The previous prime is 138013000747. The next prime is 138013000813. The reversal of 138013000776 is 677000310831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 138013000776.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 595726 + ... + 794301.

It is an arithmetic number, because the mean of its divisors is an integer number (4472415090).

Almost surely, 2138013000776 is an apocalyptic number.

138013000776 is the 198576-th nonagonal number.

It is an amenable number.

138013000776 is an abundant number, since it is smaller than the sum of its proper divisors (291338847864).

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

138013000776 is a wasteful number, since it uses less digits than its factorization.

138013000776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390243 (or 1390236 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 138013000776 in words is "one hundred thirty-eight billion, thirteen million, seven hundred seventy-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 197 252 394 504 591 788 1182 1379 1576 1773 2364 2758 3546 4137 4728 5516 7092 8274 11032 12411 14184 16548 24822 33096 49644 99288 1390027 2780054 4170081 5560108 8340162 9730189 11120216 12510243 16680324 19460378 25020486 29190567 33360648 38920756 50040972 58381134 77841512 87571701 100081944 116762268 175143402 233524536 273835319 350286804 547670638 700573608 821505957 1095341276 1643011914 1916847233 2190682552 2464517871 3286023828 3833694466 4929035742 5750541699 6572047656 7667388932 9858071484 11501083398 15334777864 17251625097 19716142968 23002166796 34503250194 46004333592 69006500388 138013000776