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8021690864 = 24111923104297
BaseRepresentation
bin1110111100010000…
…10100100111110000
3202201001020010011122
413132020110213300
5112412023101424
63403552401412
7402533150555
oct73610244760
922631203148
108021690864
113447043090
12167a546268
139aab99055
14561512a2c
1531e38245e
hex1de2149f0

8021690864 has 80 divisors (see below), whose sum is σ = 18623450880. Its totient is φ = 3304097280.

The previous prime is 8021690861. The next prime is 8021690867. The reversal of 8021690864 is 4680961208.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8021690861) and next prime (8021690867).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8021690861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24764 + ... + 129060.

It is an arithmetic number, because the mean of its divisors is an integer number (232793136).

Almost surely, 28021690864 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 8021690864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9311725440).

8021690864 is an abundant number, since it is smaller than the sum of its proper divisors (10601760016).

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

8021690864 is a wasteful number, since it uses less digits than its factorization.

8021690864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104358 (or 104352 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 8021690864 is about 89563.8926353695. The cubic root of 8021690864 is about 2001.8059407981.

The spelling of 8021690864 in words is "eight billion, twenty-one million, six hundred ninety thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 19 22 23 38 44 46 76 88 92 152 176 184 209 253 304 368 418 437 506 836 874 1012 1672 1748 2024 3344 3496 4048 4807 6992 9614 19228 38456 76912 104297 208594 417188 834376 1147267 1668752 1981643 2294534 2398831 3963286 4589068 4797662 7926572 9178136 9595324 15853144 18356272 19190648 21798073 26387141 31706288 38381296 43596146 45577789 52774282 87192292 91155578 105548564 174384584 182311156 211097128 348769168 364622312 422194256 501355679 729244624 1002711358 2005422716 4010845432 8021690864