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37130630702157 = 3241353285056701
BaseRepresentation
bin10000111000101001001100…
…00011011010010001001101
311212110122122111100222012100
420130110212003122101031
514331322012424432112
6210545324250025313
710551412433324526
oct1034244603322115
9155418574328170
1037130630702157
1110916015046383
1241b81b9118239
1317945324c7735
149251bc74784d
15445cbd8c12dc
hex21c5260da44d

37130630702157 has 24 divisors (see below), whose sum is σ = 55096899589368. Its totient is φ = 24081590016000.

The previous prime is 37130630702147. The next prime is 37130630702159. The reversal of 37130630702157 is 75120703603173.

37130630702157 is a `hidden beast` number, since 3 + 7 + 1 + 3 + 0 + 630 + 7 + 0 + 2 + 1 + 5 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3416512321161 + 33714118380996 = 1848381^2 + 5806386^2 .

It is not a de Polignac number, because 37130630702157 - 212 = 37130630698061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37130630702159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142398094 + ... + 142658607.

It is an arithmetic number, because the mean of its divisors is an integer number (2295704149557).

Almost surely, 237130630702157 is an apocalyptic number.

It is an amenable number.

37130630702157 is a deficient number, since it is larger than the sum of its proper divisors (17966268887211).

37130630702157 is a wasteful number, since it uses less digits than its factorization.

37130630702157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285057101 (or 285057098 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 45.

The spelling of 37130630702157 in words is "thirty-seven trillion, one hundred thirty billion, six hundred thirty million, seven hundred two thousand, one hundred fifty-seven".

Divisors: 1 3 9 41 123 353 369 1059 3177 14473 43419 130257 285056701 855170103 2565510309 11687324741 35061974223 100625015453 105185922669 301875046359 905625139077 4125625633573 12376876900719 37130630702157