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97402665011912 = 23132139219312
BaseRepresentation
bin10110001001011001010011…
…001111111000101011001000
3110202212121022012022020220022
4112021121103033320223020
5100231321124220340122
6543054055551520012
726342052561050201
oct2611312317705310
9422777265266808
1097402665011912
1129043269131787
12ab11357529008
13424705510a600
141a0a4580045a8
15b3da008e7642
hex5896533f8ac8

97402665011912 has 108 divisors (see below), whose sum is σ = 199295280218385. Its totient is φ = 44608545109440.

The previous prime is 97402665011851. The next prime is 97402665012011. The reversal of 97402665011912 is 21911056620479.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 83282160320836 + 14120504691076 = 9125906^2 + 3757726^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=6978634.

It is a super-2 number, since 2×974026650119122 (a number of 29 digits) contains 22 as substring.

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 26 ways as a sum of consecutive naturals, for example, 50441565587 + ... + 50441567517.

Almost surely, 297402665011912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97402665011912

97402665011912 is an abundant number, since it is smaller than the sum of its proper divisors (101892615206473).

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

97402665011912 is an equidigital number, since it uses as much as digits as its factorization.

97402665011912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4172 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 53.

The spelling of 97402665011912 in words is "ninety-seven trillion, four hundred two billion, six hundred sixty-five million, eleven thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 139 169 278 338 556 676 1112 1352 1807 1931 3614 3862 7228 7724 14456 15448 19321 23491 25103 38642 46982 50206 77284 93964 100412 154568 187928 200824 251173 268409 326339 502346 536818 652678 1004692 1073636 1305356 2009384 2147272 2610712 3265249 3489317 3728761 6530498 6978634 7457522 13060996 13957268 14915044 26121992 27914536 29830088 37308851 45361121 48473893 74617702 90722242 96947786 149235404 181444484 193895572 298470808 362888968 387791144 485015063 518297779 630160609 970030126 1036595558 1260321218 1940060252 2073191116 2520642436 3880120504 4146382232 5041284872 6305195819 6737871127 12610391638 13475742254 25220783276 26951484508 50441566552 53902969016 72043391281 87592324651 144086782562 175184649302 288173565124 350369298604 576347130248 700738597208 936564086653 1873128173306 3746256346612 7492512693224 12175333126489 24350666252978 48701332505956 97402665011912