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663649536 = 28311174621
BaseRepresentation
bin100111100011100…
…111110100000000
31201020202220000110
4213203213310000
52324343241121
6145504151320
722305633204
oct4743476400
91636686013
10663649536
113106817a0
12166308540
13a7652a44
14641d4b04
153d3e1d76
hex278e7d00

663649536 has 144 divisors (see below), whose sum is σ = 2040631488. Its totient is φ = 189235200.

The previous prime is 663649513. The next prime is 663649627. The reversal of 663649536 is 635946366.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 141306 + ... + 145926.

It is an arithmetic number, because the mean of its divisors is an integer number (14171052).

Almost surely, 2663649536 is an apocalyptic number.

663649536 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 663649536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020315744).

663649536 is an abundant number, since it is smaller than the sum of its proper divisors (1376981952).

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

663649536 is a wasteful number, since it uses less digits than its factorization.

663649536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4668 (or 4654 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 48.

The square root of 663649536 is about 25761.3962354528. The cubic root of 663649536 is about 872.2606184500.

The spelling of 663649536 in words is "six hundred sixty-three million, six hundred forty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 256 264 272 352 374 384 408 528 544 561 704 748 768 816 1056 1088 1122 1408 1496 1632 2112 2176 2244 2816 2992 3264 4224 4352 4488 4621 5984 6528 8448 8976 9242 11968 13056 13863 17952 18484 23936 27726 35904 36968 47872 50831 55452 71808 73936 78557 101662 110904 143616 147872 152493 157114 203324 221808 235671 295744 304986 314228 406648 443616 471342 591488 609972 628456 813296 864127 887232 942684 1182976 1219944 1256912 1626592 1728254 1774464 1885368 2439888 2513824 2592381 3253184 3456508 3548928 3770736 4879776 5027648 5184762 6506368 6913016 7541472 9759552 10055296 10369524 13012736 13826032 15082944 19519104 20110592 20739048 27652064 30165888 39038208 41478096 55304128 60331776 82956192 110608256 165912384 221216512 331824768 663649536