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137490428096 = 267265966529
BaseRepresentation
bin1000000000001100010…
…0010111000011000000
3111010212221111102021122
42000003010113003000
54223040022144341
6143055013011412
712635066233100
oct2000304270300
9433787442248
10137490428096
115334484267a
1222791323b68
13cc71990ac8
146924209200
15389a75494b
hex20031170c0

137490428096 has 84 divisors (see below), whose sum is σ = 317863042200. Its totient is φ = 58834169856.

The previous prime is 137490428093. The next prime is 137490428149. The reversal of 137490428096 is 690824094731.

It is not an unprimeable number, because it can be changed into a prime (137490428093) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2033360 + ... + 2099888.

Almost surely, 2137490428096 is an apocalyptic number.

137490428096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137490428096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158931521100).

137490428096 is an abundant number, since it is smaller than the sum of its proper divisors (180372614104).

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

137490428096 is an equidigital number, since it uses as much as digits as its factorization.

137490428096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67214 (or 67197 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 53.

The spelling of 137490428096 in words is "one hundred thirty-seven billion, four hundred ninety million, four hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 659 784 1318 1568 2636 3136 4613 5272 9226 10544 18452 21088 32291 36904 42176 64582 66529 73808 129164 133058 147616 258328 266116 295232 465703 516656 532232 931406 1033312 1064464 1862812 2066624 2128928 3259921 3725624 4257856 6519842 7451248 13039684 14902496 26079368 29804992 43842611 52158736 87685222 104317472 175370444 208634944 306898277 350740888 613796554 701481776 1227593108 1402963552 2148287939 2455186216 2805927104 4296575878 4910372432 8593151756 9820744864 17186303512 19641489728 34372607024 68745214048 137490428096