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137657037696 = 273397902977
BaseRepresentation
bin1000000000110011111…
…1111011001110000000
3111011022120000001200120
42000030333323032000
54223410200201241
6143123324020240
712642161341263
oct2001477731600
9434276001616
10137657037696
115341a899962
1222819091680
13cc9a356b79
14693c3b8cda
1538aa1b5666
hex200cffb380

137657037696 has 64 divisors (see below), whose sum is σ = 366572948880. Its totient is φ = 45770047488.

The previous prime is 137657037677. The next prime is 137657037703. The reversal of 137657037696 is 696730756731.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 299041 + ... + 603936.

Almost surely, 2137657037696 is an apocalyptic number.

137657037696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137657037696 is an abundant number, since it is smaller than the sum of its proper divisors (228915911184).

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

137657037696 is an equidigital number, since it uses as much as digits as its factorization.

137657037696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903391 (or 903379 counting only the distinct ones).

The product of its (nonzero) digits is 30005640, while the sum is 60.

The spelling of 137657037696 in words is "one hundred thirty-seven billion, six hundred fifty-seven million, thirty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 397 794 1191 1588 2382 3176 4764 6352 9528 12704 19056 25408 38112 50816 76224 152448 902977 1805954 2708931 3611908 5417862 7223816 10835724 14447632 21671448 28895264 43342896 57790528 86685792 115581056 173371584 346743168 358481869 716963738 1075445607 1433927476 2150891214 2867854952 4301782428 5735709904 8603564856 11471419808 17207129712 22942839616 34414259424 45885679232 68828518848 137657037696