Search a number
-
+
137550136360600 = 23521759685693601
BaseRepresentation
bin11111010001100111100011…
…000001000011111010011000
3200001000122221111120222121001
4133101213203001003322120
5121012110134402014400
61204313354342554344
740654445414656015
oct3721474301037230
9601018844528531
10137550136360600
113a91175a061827
121351617a4389b4
135b99bcb102c32
1425d76680c270c
1510d7edc208a6a
hex7d19e3043e98

137550136360600 has 96 divisors (see below), whose sum is σ = 344355326924400. Its totient is φ = 50905892864000.

The previous prime is 137550136360573. The next prime is 137550136360603. The reversal of 137550136360600 is 6063631055731.

It is a happy number.

137550136360600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137550136360603) by changing a digit.

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, 342646201 + ... + 343047400.

Almost surely, 2137550136360600 is an apocalyptic number.

137550136360600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137550136360600 is an abundant number, since it is smaller than the sum of its proper divisors (206805190563800).

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

137550136360600 is a wasteful number, since it uses less digits than its factorization.

137550136360600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685693693 (or 685693684 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 46.

The spelling of 137550136360600 in words is "one hundred thirty-seven trillion, five hundred fifty billion, one hundred thirty-six million, three hundred sixty thousand, six hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 59 68 85 100 118 136 170 200 236 295 340 425 472 590 680 850 1003 1180 1475 1700 2006 2360 2950 3400 4012 5015 5900 8024 10030 11800 20060 25075 40120 50150 100300 200600 685693601 1371387202 2742774404 3428468005 5485548808 6856936010 11656791217 13713872020 17142340025 23313582434 27427744040 34284680050 40455922459 46627164868 58283956085 68569360100 80911844918 93254329736 116567912170 137138720200 161823689836 202279612295 233135824340 291419780425 323647379672 404559224590 466271648680 582839560850 687750681803 809118449180 1011398061475 1165679121700 1375501363606 1618236898360 2022796122950 2331358243400 2751002727212 3438753409015 4045592245900 5502005454424 6877506818030 8091184491800 13755013636060 17193767045075 27510027272120 34387534090150 68775068180300 137550136360600