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137376673731 = 33112192213147
BaseRepresentation
bin111111111110001001…
…0011010111111000011
3111010121000110002122000
41333330102122333003
54222321412024411
6143035430515043
712632215313523
oct1777422327703
9433530402560
10137376673731
1153296607300
122275b205a83
13cc5424292b
146913077683
153890784956
hex1ffc49afc3

137376673731 has 48 divisors (see below), whose sum is σ = 235478947200. Its totient is φ = 78876523440.

The previous prime is 137376673727. The next prime is 137376673783.

137376673731 is a `hidden beast` number, since 137 + 376 + 6 + 73 + 73 + 1 = 666.

137376673731 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 137376673731 - 22 = 137376673727 is a prime.

It is a super-2 number, since 2×1373766737312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137376672731) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1044501 + ... + 1168646.

It is an arithmetic number, because the mean of its divisors is an integer number (4905811400).

Almost surely, 2137376673731 is an apocalyptic number.

137376673731 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137376673731 is a deficient number, since it is larger than the sum of its proper divisors (98102273469).

137376673731 is a wasteful number, since it uses less digits than its factorization.

137376673731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213197 (or 2213180 counting only the distinct ones).

The product of its digits is 7001316, while the sum is 54.

The spelling of 137376673731 in words is "one hundred thirty-seven billion, three hundred seventy-six million, six hundred seventy-three thousand, seven hundred thirty-one".

Divisors: 1 3 9 11 19 27 33 57 99 121 171 209 297 363 513 627 1089 1881 2299 3267 5643 6897 20691 62073 2213147 6639441 19918323 24344617 42049793 59754969 73033851 126149379 219101553 267790787 378448137 462547723 657304659 803372361 1135344411 1387643169 2410117083 4162929507 5088024953 7230351249 12488788521 15264074859 45792224577 137376673731