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97112121161568 = 25331131472482069
BaseRepresentation
bin10110000101001010101101…
…011111000011011101100000
3110201211211100200210101212020
4112011022231133003131200
5100212041111004132233
6542312405332501440
726312055615060132
oct2605125537033540
9421754320711766
1097112121161568
1128a410237626a7
12aa84b90a7a880
1342258313ccb36
1419da374ad7052
15b361984ba9b3
hex5852ad7c3760

97112121161568 has 96 divisors (see below), whose sum is σ = 263162643287040. Its totient is φ = 31324095290880.

The previous prime is 97112121161567. The next prime is 97112121161593. The reversal of 97112121161568 is 86516112121179.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 97112121161568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97112121161567) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 37884438 + ... + 40366506.

It is an arithmetic number, because the mean of its divisors is an integer number (2741277534240).

Almost surely, 297112121161568 is an apocalyptic number.

It is an amenable number.

97112121161568 is an abundant number, since it is smaller than the sum of its proper divisors (166050522125472).

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

97112121161568 is a wasteful number, since it uses less digits than its factorization.

97112121161568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495260 (or 2495252 counting only the distinct ones).

The product of its digits is 362880, while the sum is 51.

The spelling of 97112121161568 in words is "ninety-seven trillion, one hundred twelve billion, one hundred twenty-one million, one hundred sixty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 13147 26294 39441 52588 78882 105176 157764 210352 315528 407557 420704 631056 815114 1222671 1262112 1630228 2445342 2482069 3260456 4890684 4964138 6520912 7446207 9781368 9928276 13041824 14892414 19562736 19856552 29784828 39125472 39713104 59569656 76944139 79426208 119139312 153888278 230832417 238278624 307776556 461664834 615553112 923329668 1231106224 1846659336 2462212448 3693318672 7386637344 32631761143 65263522286 97895283429 130527044572 195790566858 261054089144 391581133716 522108178288 783162267432 1011584595433 1044216356576 1566324534864 2023169190866 3034753786299 3132649069728 4046338381732 6069507572598 8092676763464 12139015145196 16185353526928 24278030290392 32370707053856 48556060580784 97112121161568