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80618664 = 23373111543
BaseRepresentation
bin1001100111000…
…10010010101000
312121200212000110
410303202102220
5131114244124
611555534320
71666150560
oct463422250
9177625013
1080618664
1141563aa5
1222bba3a0
1313918b69
14a9c7da0
157127029
hex4ce24a8

80618664 has 64 divisors (see below), whose sum is σ = 231229440. Its totient is φ = 22944960.

The previous prime is 80618663. The next prime is 80618683. The reversal of 80618664 is 46681608.

It is a super-3 number, since 3×806186643 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (80618663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51477 + ... + 53019.

It is an arithmetic number, because the mean of its divisors is an integer number (3612960).

Almost surely, 280618664 is an apocalyptic number.

80618664 is a gapful number since it is divisible by the number (84) 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 80618664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115614720).

80618664 is an abundant number, since it is smaller than the sum of its proper divisors (150610776).

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

80618664 is a wasteful number, since it uses less digits than its factorization.

80618664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 80618664 is about 8978.7896734471. The cubic root of 80618664 is about 431.9948130379.

The spelling of 80618664 in words is "eighty million, six hundred eighteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 311 622 933 1244 1543 1866 2177 2488 3086 3732 4354 4629 6172 6531 7464 8708 9258 10801 12344 13062 17416 18516 21602 26124 32403 37032 43204 52248 64806 86408 129612 259224 479873 959746 1439619 1919492 2879238 3359111 3838984 5758476 6718222 10077333 11516952 13436444 20154666 26872888 40309332 80618664