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97137115259709 = 3731961131621749
BaseRepresentation
bin10110000101100001111111…
…001111111110001100111101
3110201221012212120121010211210
4112011201333033332030331
5100212443303001302314
6542332101423035033
726313632161311000
oct2605417717761475
9421835776533753
1097137115259709
1128a5068a228558
12aa899a743ba79
134227cb564ac15
1419db666385537
15b36b5c8c4559
hex58587f3fe33d

97137115259709 has 128 divisors (see below), whose sum is σ = 162828864000000. Its totient is φ = 51328530489600.

The previous prime is 97137115259707. The next prime is 97137115259749. The reversal of 97137115259709 is 90795251173179.

It is not a de Polignac number, because 97137115259709 - 21 = 97137115259707 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 97137115259709.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97137115259707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 155921167 + ... + 156542915.

It is an arithmetic number, because the mean of its divisors is an integer number (1272100500000).

Almost surely, 297137115259709 is an apocalyptic number.

It is an amenable number.

97137115259709 is a deficient number, since it is larger than the sum of its proper divisors (65691748740291).

97137115259709 is a wasteful number, since it uses less digits than its factorization.

97137115259709 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621984 (or 621970 counting only the distinct ones).

The product of its (nonzero) digits is 37507050, while the sum is 66.

The spelling of 97137115259709 in words is "ninety-seven trillion, one hundred thirty-seven billion, one hundred fifteen million, two hundred fifty-nine thousand, seven hundred nine".

Divisors: 1 3 7 19 21 49 57 61 131 133 147 183 343 393 399 427 917 931 1029 1159 1281 2489 2751 2793 2989 3477 6419 6517 7467 7991 8113 8967 17423 19257 19551 20923 23973 24339 44933 52269 55937 56791 62769 121961 134799 151829 167811 170373 365883 391559 397537 455487 621749 853727 1062803 1174677 1192611 1865247 2561181 2740913 3188409 4352243 7439621 8222739 11813231 13056729 22318863 30465701 35439693 37926689 52077347 81449119 82692617 91397103 113780067 156232041 213259907 244347357 248077851 265486823 570143833 578848319 639779721 720607091 796460469 1547533261 1710431499 1736544957 1858407761 2161821273 3991006831 4051938233 4642599783 4968396259 5044249637 5575223283 10832732827 11973020493 12155814699 13008854327 14905188777 15132748911 27937047817 32498198481 34778773813 35309747459 39026562981 75829129789 83811143451 94399528921 104336321439 105929242377 227487389367 243451416691 247168232213 283198586763 530803908523 660796702447 730354250073 741504696639 1592411725569 1704159916837 1982390107341 4625576917129 5112479750511 13876730751387 32379038419903 97137115259709