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8697887968 = 257116415507
BaseRepresentation
bin10000001100110111…
…10011110011100000
3211110011121111012211
420012123303303200
5120303124403333
63555025531504
7425353553650
oct100633636340
924404544184
108697887968
113763804a70
121828aa3b94
13a87cc3093
145c7252360
1535d901ecd
hex2066f3ce0

8697887968 has 96 divisors (see below), whose sum is σ = 21386550528. Its totient is φ = 3382886400.

The previous prime is 8697887953. The next prime is 8697887977.

8697887968 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8697887894 and 8697887903.

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, 1576671 + ... + 1582177.

It is an arithmetic number, because the mean of its divisors is an integer number (222776568).

Almost surely, 28697887968 is an apocalyptic number.

8697887968 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 8697887968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10693275264).

8697887968 is an abundant number, since it is smaller than the sum of its proper divisors (12688662560).

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

8697887968 is a wasteful number, since it uses less digits than its factorization.

8697887968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6176 (or 6168 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 76.

The square root of 8697887968 is about 93262.4681637796. The cubic root of 8697887968 is about 2056.5436721778.

The spelling of 8697887968 in words is "eight billion, six hundred ninety-seven million, eight hundred eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 641 1232 1282 2464 2564 4487 5128 5507 7051 8974 10256 11014 14102 17948 20512 22028 28204 35896 38549 44056 49357 56408 60577 71792 77098 88112 98714 112816 121154 143584 154196 176224 197428 225632 242308 308392 394856 424039 484616 616784 789712 848078 969232 1233568 1579424 1696156 1938464 3392312 3529987 6784624 7059974 13569248 14119948 24709909 28239896 38829857 49419818 56479792 77659714 98839636 112959584 155319428 197679272 271808999 310638856 395358544 543617998 621277712 790717088 1087235996 1242555424 2174471992 4348943984 8697887968