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664520896 = 261319127331
BaseRepresentation
bin100111100110111…
…100100011000000
31201022102011022001
4213212330203000
52330104132041
6145534553344
722316222464
oct4746744300
91638364261
10664520896
11311117426
12166668854
13a7899540
14643804a4
153d515131
hex279bc8c0

664520896 has 112 divisors (see below), whose sum is σ = 1511157760. Its totient is φ = 287400960.

The previous prime is 664520891. The next prime is 664520911. The reversal of 664520896 is 698025466.

It is a super-3 number, since 3×6645208963 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (664520891) 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, 2007451 + ... + 2007781.

It is an arithmetic number, because the mean of its divisors is an integer number (13492480).

Almost surely, 2664520896 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 664520896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755578880).

664520896 is an abundant number, since it is smaller than the sum of its proper divisors (846636864).

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

664520896 is a wasteful number, since it uses less digits than its factorization.

664520896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The square root of 664520896 is about 25778.3028145764. The cubic root of 664520896 is about 872.6422057027.

The spelling of 664520896 in words is "six hundred sixty-four million, five hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 127 152 208 247 254 304 331 416 494 508 608 662 832 988 1016 1216 1324 1651 1976 2032 2413 2648 3302 3952 4064 4303 4826 5296 6289 6604 7904 8128 8606 9652 10592 12578 13208 15808 17212 19304 21184 25156 26416 31369 34424 38608 42037 50312 52832 62738 68848 77216 81757 84074 100624 105664 125476 137696 154432 163514 168148 201248 250952 275392 327028 336296 402496 501904 546481 654056 672592 798703 1003808 1092962 1308112 1345184 1597406 2007616 2185924 2616224 2690368 3194812 4371848 5232448 6389624 8743696 10383139 12779248 17487392 20766278 25558496 34974784 41532556 51116992 83065112 166130224 332260448 664520896