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1337057320116 = 223727928783633
BaseRepresentation
bin10011011101001110110…
…100111001110010110100
311201211011211020100210210
4103131032310321302310
5133401243133220431
62502122522345420
7165412345462500
oct23351664716264
94654154210723
101337057320116
11476052000291
1219716995b270
13991126146ab
14489dcdd1300
1524ba73dbd46
hex1374ed39cb4

1337057320116 has 72 divisors (see below), whose sum is σ = 3675094389120. Its totient is φ = 377180713728.

The previous prime is 1337057320073. The next prime is 1337057320133. The reversal of 1337057320116 is 6110237507331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14345365 + ... + 14438268.

Almost surely, 21337057320116 is an apocalyptic number.

It is an amenable number.

1337057320116 is an abundant number, since it is smaller than the sum of its proper divisors (2338037069004).

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

1337057320116 is a wasteful number, since it uses less digits than its factorization.

1337057320116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28783733 (or 28783724 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 39.

The spelling of 1337057320116 in words is "one trillion, three hundred thirty-seven billion, fifty-seven million, three hundred twenty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 79 84 98 147 158 196 237 294 316 474 553 588 948 1106 1659 2212 3318 3871 6636 7742 11613 15484 23226 46452 28783633 57567266 86350899 115134532 172701798 201485431 345403596 402970862 604456293 805941724 1208912586 1410398017 2273907007 2417825172 2820796034 4231194051 4547814014 5641592068 6821721021 8462388102 9095628028 13643442042 15917349049 16924776204 27286884084 31834698098 47752047147 63669396196 95504094294 111421443343 191008188588 222842886686 334264330029 445685773372 668528660058 1337057320116