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810818664 = 233431495273
BaseRepresentation
bin110000010101000…
…001110001101000
32002111200212002220
4300111001301220
53130032144124
6212242354040
726043562545
oct6025016150
92074625086
10810818664
11386760077
121a765b920
13cbca0276
1479983bcc
154b2b2879
hex30541c68

810818664 has 64 divisors (see below), whose sum is σ = 2088504000. Its totient is φ = 262166016.

The previous prime is 810818663. The next prime is 810818677. The reversal of 810818664 is 466818018.

It is not an unprimeable number, because it can be changed into a prime (810818663) 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, 151132 + ... + 156404.

It is an arithmetic number, because the mean of its divisors is an integer number (32632875).

Almost surely, 2810818664 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 810818664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044252000).

810818664 is an abundant number, since it is smaller than the sum of its proper divisors (1277685336).

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

810818664 is a wasteful number, since it uses less digits than its factorization.

810818664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5474 (or 5470 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 810818664 is about 28474.8777697113. The cubic root of 810818664 is about 932.4836928821.

The spelling of 810818664 in words is "eight hundred ten million, eight hundred eighteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 149 172 258 298 344 447 516 596 894 1032 1192 1788 3576 5273 6407 10546 12814 15819 19221 21092 25628 31638 38442 42184 51256 63276 76884 126552 153768 226739 453478 680217 785677 906956 1360434 1571354 1813912 2357031 2720868 3142708 4714062 5441736 6285416 9428124 18856248 33784111 67568222 101352333 135136444 202704666 270272888 405409332 810818664