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137809328832 = 2633711392967
BaseRepresentation
bin1000000001011000010…
…0110111101011000000
3111011201011120020212000
42000112010313223000
54224213142010312
6143150404104000
712646020652620
oct2002604675300
9434634506760
10137809328832
11534988564aa
1222860095000
13ccc2a78876
1469546dc880
1538b8748adc
hex2016137ac0

137809328832 has 112 divisors (see below), whose sum is σ = 463010219520. Its totient is φ = 39374090496.

The previous prime is 137809328831. The next prime is 137809328837. The reversal of 137809328832 is 238823908731.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1378093288322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (137809328831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5684388 + ... + 5708579.

Almost surely, 2137809328832 is an apocalyptic number.

137809328832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137809328832 is an abundant number, since it is smaller than the sum of its proper divisors (325200890688).

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

137809328832 is a wasteful number, since it uses less digits than its factorization.

137809328832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11392995 (or 11392979 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 137809328832 in words is "one hundred thirty-seven billion, eight hundred nine million, three hundred twenty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 11392967 22785934 34178901 45571868 68357802 79750769 91143736 102536703 136715604 159501538 182287472 205073406 239252307 273431208 307610109 319003076 364574944 410146812 478504614 546862416 615220218 638006152 717756921 729149888 820293624 957009228 1093724832 1230440436 1276012304 1435513842 1640587248 1914018456 2153270763 2187449664 2460880872 2552024608 2871027684 3281174496 3828036912 4306541526 4921761744 5104049216 5742055368 6562348992 7656073824 8613083052 9843523488 11484110736 15312147648 17226166104 19687046976 22968221472 34452332208 45936442944 68904664416 137809328832