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137116056078 = 23261365934129
BaseRepresentation
bin111111110110011000…
…0001111101000001110
3111002220212001100102100
41333230300033220032
54221303202243303
6142553520535530
712622602150351
oct1775460175016
9432825040370
10137116056078
1153172491411
12226a7a815a6
13cc122534c1
1468ca5d6298
1538779548a3
hex1fecc0fa0e

137116056078 has 48 divisors (see below), whose sum is σ = 302046404400. Its totient is φ = 44942480640.

The previous prime is 137116056059. The next prime is 137116056097. The reversal of 137116056078 is 870650611731.

137116056078 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 16 + 0 + 560 + 78 = 666.

It is an interprime number because it is at equal distance from previous prime (137116056059) and next prime (137116056097).

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, 4000518 + ... + 4034646.

It is an arithmetic number, because the mean of its divisors is an integer number (6292633425).

Almost surely, 2137116056078 is an apocalyptic number.

137116056078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

137116056078 is an abundant number, since it is smaller than the sum of its proper divisors (164930348322).

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

137116056078 is a wasteful number, since it uses less digits than its factorization.

137116056078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37857 (or 37854 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 137116056078 in words is "one hundred thirty-seven billion, one hundred sixteen million, fifty-six thousand, seventy-eight".

Divisors: 1 2 3 6 9 18 61 122 183 366 549 1098 3659 7318 10977 21954 32931 34129 65862 68258 102387 204774 223199 307161 446398 614322 669597 1339194 2008791 2081869 4017582 4163738 6245607 12491214 18736821 37473642 124878011 249756022 374634033 749268066 1123902099 2247804198 7617558671 15235117342 22852676013 45705352026 68558028039 137116056078