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9897716064 = 253176599203
BaseRepresentation
bin10010011011111001…
…10010100101100000
3221112210022001221110
421031330302211200
5130232303403224
64314050223320
7500163125025
oct111574624540
927483261843
109897716064
11421a003635
121b02884b40
13c19757232
1469c73954c
153cde06929
hex24df32960

9897716064 has 96 divisors (see below), whose sum is σ = 27554567040. Its totient is φ = 3100116992.

The previous prime is 9897716057. The next prime is 9897716083. The reversal of 9897716064 is 4606177989.

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

It is a junction number, because it is equal to n+sod(n) for n = 9897715995 and 9897716013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1070887 + ... + 1080089.

It is an arithmetic number, because the mean of its divisors is an integer number (287026740).

Almost surely, 29897716064 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 9897716064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13777283520).

9897716064 is an abundant number, since it is smaller than the sum of its proper divisors (17656850976).

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

9897716064 is a wasteful number, since it uses less digits than its factorization.

9897716064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9892 (or 9884 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 57.

The square root of 9897716064 is about 99487.2658383976. The cubic root of 9897716064 is about 2147.0640339625.

The spelling of 9897716064 in words is "nine billion, eight hundred ninety-seven million, seven hundred sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 659 816 1318 1632 1977 2636 3954 5272 7908 9203 10544 11203 15816 18406 21088 22406 27609 31632 33609 36812 44812 55218 63264 67218 73624 89624 110436 134436 147248 156451 179248 220872 268872 294496 312902 358496 441744 469353 537744 625804 883488 938706 1075488 1251608 1877412 2503216 3754824 5006432 6064777 7509648 12129554 15019296 18194331 24259108 36388662 48518216 72777324 97036432 103101209 145554648 194072864 206202418 291109296 309303627 412404836 582218592 618607254 824809672 1237214508 1649619344 2474429016 3299238688 4948858032 9897716064