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8697117968 = 2471124311489
BaseRepresentation
bin10000001100110001…
…10111110100010000
3211110010011100222022
420012120313310100
5120302430233333
63555001231012
7425344166030
oct100630676420
924403140868
108697117968
113763329500
121828792468
13a87ab3766
145c70d18c0
1535d7edc98
hex206637d10

8697117968 has 120 divisors (see below), whose sum is σ = 21231141120. Its totient is φ = 3378355200.

The previous prime is 8697117943. The next prime is 8697117997.

8697117968 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 8697117968.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5840168 + ... + 5841656.

It is an arithmetic number, because the mean of its divisors is an integer number (176926176).

Almost surely, 28697117968 is an apocalyptic number.

8697117968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8697117968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10615570560).

8697117968 is an abundant number, since it is smaller than the sum of its proper divisors (12534023152).

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

8697117968 is a wasteful number, since it uses less digits than its factorization.

8697117968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957 (or 1940 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 62.

The square root of 8697117968 is about 93258.3399380452. The cubic root of 8697117968 is about 2056.4829836764.

The spelling of 8697117968 in words is "eight billion, six hundred ninety-seven million, one hundred seventeen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 121 154 176 242 308 431 484 616 847 862 968 1232 1489 1694 1724 1936 2978 3017 3388 3448 4741 5956 6034 6776 6896 9482 10423 11912 12068 13552 16379 18964 20846 23824 24136 32758 33187 37928 41692 48272 52151 65516 66374 75856 83384 104302 114653 131032 132748 166768 180169 208604 229306 262064 265496 360338 365057 417208 458612 530992 641759 720676 730114 834416 917224 1261183 1283518 1441352 1460228 1834448 2522366 2567036 2882704 2920456 4492313 5044732 5134072 5840912 7059349 8984626 10089464 10268144 14118698 17969252 20178928 28237396 35938504 49415443 56474792 71877008 77652839 98830886 112949584 155305678 197661772 310611356 395323544 543569873 621222712 790647088 1087139746 1242445424 2174279492 4348558984 8697117968