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137029958055 = 3256149919839
BaseRepresentation
bin111111110011110011…
…1110011100110100111
3111002200212001010010200
41333213213303212213
54221114132124210
6142541203321543
712620505265614
oct1774747634647
9432625033120
10137029958055
1153128925721
12226830802b3
13cbca469623
1468bcdc350b
1538700e90c0
hex1fe79f39a7

137029958055 has 24 divisors (see below), whose sum is σ = 241412346240. Its totient is φ = 71884566720.

The previous prime is 137029958053. The next prime is 137029958077. The reversal of 137029958055 is 550859920731.

137029958055 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 2 + 9 + 9 + 580 + 55 = 666.

It is not a de Polignac number, because 137029958055 - 21 = 137029958053 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137029957992 and 137029958010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137029958053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24957175 + ... + 24962664.

It is an arithmetic number, because the mean of its divisors is an integer number (10058847760).

Almost surely, 2137029958055 is an apocalyptic number.

137029958055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

137029958055 is a deficient number, since it is larger than the sum of its proper divisors (104382388185).

137029958055 is a wasteful number, since it uses less digits than its factorization.

137029958055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49919911 (or 49919908 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The spelling of 137029958055 in words is "one hundred thirty-seven billion, twenty-nine million, nine hundred fifty-eight thousand, fifty-five".

Divisors: 1 3 5 9 15 45 61 183 305 549 915 2745 49919839 149759517 249599195 449278551 748797585 2246392755 3045110179 9135330537 15225550895 27405991611 45676652685 137029958055