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137957660379 = 33711312339187
BaseRepresentation
bin1000000001111011101…
…0101101011011011011
3111012002111200021111000
42000132322231123123
54230014130113004
6143213223240043
712652501523250
oct2003672553333
9435074607430
10137957660379
1153564559160
12228a18a9023
1310017712206
14696a2b1427
1538c6798c39
hex201eead6db

137957660379 has 128 divisors (see below), whose sum is σ = 264191016960. Its totient is φ = 69049324800.

The previous prime is 137957660353. The next prime is 137957660389. The reversal of 137957660379 is 973066759731.

137957660379 is a `hidden beast` number, since 13 + 7 + 9 + 5 + 7 + 6 + 603 + 7 + 9 = 666.

It is not a de Polignac number, because 137957660379 - 28 = 137957660123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (137957660389) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15012024 + ... + 15021210.

It is an arithmetic number, because the mean of its divisors is an integer number (2063992320).

Almost surely, 2137957660379 is an apocalyptic number.

137957660379 is a deficient number, since it is larger than the sum of its proper divisors (126233356581).

137957660379 is a wasteful number, since it uses less digits than its factorization.

137957660379 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9478 (or 9472 counting only the distinct ones).

The product of its (nonzero) digits is 45008460, while the sum is 63.

The spelling of 137957660379 in words is "one hundred thirty-seven billion, nine hundred fifty-seven million, six hundred sixty thousand, three hundred seventy-nine".

Divisors: 1 3 7 9 11 21 27 31 33 63 77 93 99 189 217 231 233 279 297 341 651 693 699 837 1023 1631 1953 2079 2097 2387 2563 3069 4893 5859 6291 7161 7223 7689 9187 9207 14679 17941 21483 21669 23067 27561 44037 50561 53823 64309 64449 65007 69201 79453 82683 101057 151683 161469 192927 195021 238359 248049 284797 303171 455049 484407 556171 578781 707399 715077 854391 909513 1365147 1668513 1736343 1993579 2122197 2140571 2145231 2563173 2728539 3132767 5005539 5980737 6366591 6421713 7689519 9398301 14983997 15016617 17942211 19099773 19265139 21929369 23546281 28194903 44951991 53826633 57795417 65788107 66357701 70638843 84584709 134855973 164823967 197364321 199073103 211916529 404567919 464503907 494471901 592092963 597219309 635749587 729934711 1393511721 1483415703 1791657927 2189804133 4180535163 4450247109 5109542977 6569412399 12541605489 15328628931 19708237197 45985886793 137957660379