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197297121945 = 357111393074003
BaseRepresentation
bin1011011110111111010…
…0110010101010011001
3200212020222100020211210
42313233310302222121
511213031030400240
6230345334013333
720153130603030
oct2675764625231
9625228306753
10197297121945
1176745099990
12322a24a7249
13157b3368751
14979913d717
1551eb021780
hex2defd32a99

197297121945 has 128 divisors (see below), whose sum is σ = 397791313920. Its totient is φ = 81118298880.

The previous prime is 197297121907. The next prime is 197297121953. The reversal of 197297121945 is 549121792791.

It is not a de Polignac number, because 197297121945 - 217 = 197296990873 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49285314 + ... + 49289316.

It is an arithmetic number, because the mean of its divisors is an integer number (3107744640).

Almost surely, 2197297121945 is an apocalyptic number.

197297121945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

197297121945 is an abundant number, since it is smaller than the sum of its proper divisors (200494191975).

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

197297121945 is a wasteful number, since it uses less digits than its factorization.

197297121945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4475.

The product of its digits is 2857680, while the sum is 57.

The spelling of 197297121945 in words is "one hundred ninety-seven billion, two hundred ninety-seven million, one hundred twenty-one thousand, nine hundred forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 139 165 231 307 385 417 695 921 973 1155 1529 1535 2085 2149 2919 3377 4003 4587 4605 4865 6447 7645 10131 10703 10745 12009 14595 16885 20015 22935 23639 28021 32109 32235 42673 44033 50655 53515 60045 70917 84063 118195 128019 132099 140105 160545 213365 220165 298711 308231 354585 420315 469403 556417 640095 660495 896133 924693 1228921 1408209 1493555 1541155 1669251 2347015 2782085 3285821 3686763 3894919 4480665 4623465 6120587 6144605 7041045 8346255 8602447 9857463 11684757 13518131 16429105 18361761 18433815 19474595 25807341 30602935 40554393 42844109 43012235 49287315 58423785 67590655 91808805 94626917 128532327 129036705 170820019 202771965 214220545 283880751 473134585 512460057 642661635 854100095 1195740133 1419403755 1879020209 2562300285 3587220399 5637060627 5978700665 9395101045 13153141463 17936101995 28185303135 39459424389 65765707315 197297121945