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663802656 = 253111933257
BaseRepresentation
bin100111100100001…
…101001100100000
31201021001200001120
4213210031030200
52324413141111
6145511332240
722310141466
oct4744151440
91637050046
10663802656
11310776840
12166381080
13a76a764a
1464234836
153d422406
hex2790d320

663802656 has 96 divisors (see below), whose sum is σ = 1911325248. Its totient is φ = 200048640.

The previous prime is 663802631. The next prime is 663802661. The reversal of 663802656 is 656208366.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×6638026562 = 881267932225308672, which contains 22 as substring.

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, 202180 + ... + 205436.

It is an arithmetic number, because the mean of its divisors is an integer number (19909638).

Almost surely, 2663802656 is an apocalyptic number.

663802656 is a gapful number since it is divisible by the number (66) 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 663802656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955662624).

663802656 is an abundant number, since it is smaller than the sum of its proper divisors (1247522592).

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

663802656 is a wasteful number, since it uses less digits than its factorization.

663802656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3474 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 663802656 is about 25764.3679526590. The cubic root of 663802656 is about 872.3276971655.

The spelling of 663802656 in words is "six hundred sixty-three million, eight hundred two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 193 264 352 386 528 579 772 1056 1158 1544 2123 2316 3088 3257 4246 4632 6176 6369 6514 8492 9264 9771 12738 13028 16984 18528 19542 25476 26056 33968 35827 39084 50952 52112 67936 71654 78168 101904 104224 107481 143308 156336 203808 214962 286616 312672 429924 573232 628601 859848 1146464 1257202 1719696 1885803 2514404 3439392 3771606 5028808 6914611 7543212 10057616 13829222 15086424 20115232 20743833 27658444 30172848 41487666 55316888 60345696 82975332 110633776 165950664 221267552 331901328 663802656