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137063621235006 = 23219074973980279
BaseRepresentation
bin11111001010100010011100…
…011101001001000100111110
3122222022011011102112212110100
4133022202130131021010332
5120431122244014010011
61203302054111221530
740604343210433104
oct3712423435110476
9588264142485410
10137063621235006
113a74439aa45034
1213457a215178a6
135b630759443ab
1425bbcb3ba3c74
1510ca5153a3d56
hex7ca89c74913e

137063621235006 has 48 divisors (see below), whose sum is σ = 297136581206400. Its totient is φ = 45662428887504.

The previous prime is 137063621234989. The next prime is 137063621235011. The reversal of 137063621235006 is 600532126360731.

It is a happy number.

137063621235006 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 63 + 62 + 1 + 23 + 500 + 6 = 666.

137063621235006 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1707300775 + ... + 1707381053.

It is an arithmetic number, because the mean of its divisors is an integer number (6190345441800).

Almost surely, 2137063621235006 is an apocalyptic number.

137063621235006 is an abundant number, since it is smaller than the sum of its proper divisors (160072959971394).

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

137063621235006 is a wasteful number, since it uses less digits than its factorization.

137063621235006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131933 (or 131930 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

Adding to 137063621235006 its reverse (600532126360731), we get a palindrome (737595747595737).

The spelling of 137063621235006 in words is "one hundred thirty-seven trillion, sixty-three billion, six hundred twenty-one million, two hundred thirty-five thousand, six".

Divisors: 1 2 3 6 9 18 1907 3814 5721 11442 17163 34326 49739 80279 99478 149217 160558 240837 298434 447651 481674 722511 895302 1445022 94852273 153092053 189704546 284556819 306184106 459276159 569113638 853670457 918552318 1377828477 1707340914 2755656954 3992997181 7985994362 11978991543 23957983086 35936974629 71873949258 7614645624167 15229291248334 22843936872501 45687873745002 68531810617503 137063621235006