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137913775362 = 23411476912383
BaseRepresentation
bin1000000001110001001…
…1010011010100000010
3111011222110002200120000
42000130103103110002
54224421411302422
6143205014500430
712651426514506
oct2003423232402
9434873080500
10137913775362
1153541804750
122288b064716
131000b5b824c
14696452a306
1538c29cacac
hex201c4d3502

137913775362 has 160 divisors (see below), whose sum is σ = 344938328064. Its totient is φ = 40826527200.

The previous prime is 137913775361. The next prime is 137913775367. The reversal of 137913775362 is 263577319731.

137913775362 is a `hidden beast` number, since 1 + 3 + 79 + 1 + 37 + 7 + 536 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 137913775299 and 137913775308.

It is not an unprimeable number, because it can be changed into a prime (137913775361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57872823 + ... + 57875205.

Almost surely, 2137913775362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137913775362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172469164032).

137913775362 is an abundant number, since it is smaller than the sum of its proper divisors (207024552702).

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

137913775362 is a wasteful number, since it uses less digits than its factorization.

137913775362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146 (or 3137 counting only the distinct ones).

The product of its digits is 5000940, while the sum is 54.

The spelling of 137913775362 in words is "one hundred thirty-seven billion, nine hundred thirteen million, seven hundred seventy-five thousand, three hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 54 66 81 94 99 141 162 198 282 297 423 517 594 691 846 891 1034 1269 1382 1551 1782 2073 2383 2538 3102 3807 4146 4653 4766 6219 7149 7601 7614 9306 12438 13959 14298 15202 18657 21447 22803 26213 27918 32477 37314 41877 42894 45606 52426 55971 64341 64954 68409 78639 83754 97431 111942 112001 128682 136818 157278 193023 194862 205227 224002 235917 292293 336003 357247 386046 410454 471834 584586 615681 672006 707751 714494 876879 1008009 1071741 1231362 1232011 1415502 1646653 1753758 2016018 2123253 2143482 2464022 2630637 3024027 3215223 3293306 3696033 4246506 4939959 5261274 6048054 6430446 7392066 9072081 9645669 9879918 11088099 14819877 18113183 18144162 19291338 22176198 28937007 29639754 33264297 36226366 44459631 54339549 57874014 66528594 77392691 88919262 99792891 108679098 133378893 154785382 163018647 199585782 232178073 266757786 326037294 464356146 489055941 696534219 851319601 978111882 1393068438 1467167823 1702639202 2089602657 2553958803 2934335646 4179205314 5107917606 6268807971 7661876409 12537615942 15323752818 22985629227 45971258454 68956887681 137913775362