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12157297754889 = 37313716310932833
BaseRepresentation
bin1011000011101001011101…
…1010100000001100001001
31121001020002222112222101010
42300322113122200030021
53043141121211124024
641504552510514133
72363223112612050
oct260722732401411
947036088488333
1012157297754889
113967976708241
1214441ba505949
136a2574b67bb1
143005b8677397
1516138c532b29
hexb0e976a0309

12157297754889 has 128 divisors (see below), whose sum is σ = 19785387900928. Its totient is φ = 6492857978880.

The previous prime is 12157297754831. The next prime is 12157297755011. The reversal of 12157297754889 is 98845779275121.

It is not a de Polignac number, because 12157297754889 - 27 = 12157297754761 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12157297754889.

It is not an unprimeable number, because it can be changed into a prime (12157292754889) 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 127 ways as a sum of consecutive naturals, for example, 4291314417 + ... + 4291317249.

It is an arithmetic number, because the mean of its divisors is an integer number (154573342976).

Almost surely, 212157297754889 is an apocalyptic number.

It is an amenable number.

12157297754889 is a deficient number, since it is larger than the sum of its proper divisors (7628090146039).

12157297754889 is a wasteful number, since it uses less digits than its factorization.

12157297754889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4167.

The product of its digits is 711244800, while the sum is 75.

The spelling of 12157297754889 in words is "twelve trillion, one hundred fifty-seven billion, two hundred ninety-seven million, seven hundred fifty-four thousand, eight hundred eighty-nine".

Divisors: 1 3 7 21 31 37 93 111 163 217 259 489 651 777 1093 1141 1147 2833 3279 3423 3441 5053 6031 7651 8029 8499 15159 18093 19831 22953 24087 33883 35371 40441 42217 59493 87823 101649 104821 106113 121323 126651 178159 186961 237181 263469 283087 314463 461779 534477 560883 614761 711543 733747 849261 1247113 1253671 1308727 1385337 1844283 2201241 3096469 3232453 3249451 3741339 3761013 3926181 5522929 6591883 8775697 9289407 9697359 9748353 14315149 16568787 17085823 19775649 21675283 22746157 26327091 38660503 42945447 46143181 51257469 65025849 68238471 95990539 100206043 114569353 115981509 119600761 138429543 204348373 287971617 300618129 343708059 358802283 504724447 529660513 613045119 671933773 801985471 1430438611 1514173341 1588981539 2015801319 2405956413 3533071129 3551649943 3707623591 4291315833 10599213387 10654949829 11122870773 15646457857 18674804539 24861549601 46939373571 56024413617 74584648803 109525204999 130723631773 328575614997 392170895319 578918940709 1736756822127 4052432584963 12157297754889