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56996816384 = 296712892
BaseRepresentation
bin110101000101010001…
…100110011000000000
312110010012120021022102
4311011101212120000
51413212141111014
642103423325532
74055301642224
oct650521463000
9173105507272
1056996816384
1122199242832
12b0681508a8
1354b44cc871
142a89a9c784
151738c808de
hexd45466600

56996816384 has 60 divisors (see below), whose sum is σ = 115671784404. Its totient is φ = 28051279872.

The previous prime is 56996816323. The next prime is 56996816407. The reversal of 56996816384 is 48361869965.

It is a super-3 number, since 3×569968163843 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 56996816384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44217212 + ... + 44218500.

Almost surely, 256996816384 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 56996816384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57835892202).

56996816384 is an abundant number, since it is smaller than the sum of its proper divisors (58674968020).

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

56996816384 is an frugal number, since it uses more digits than its factorization.

56996816384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663 (or 1358 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 65.

The spelling of 56996816384 in words is "fifty-six billion, nine hundred ninety-six million, eight hundred sixteen thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 512 536 1072 1289 2144 2578 4288 5156 8576 10312 17152 20624 34304 41248 82496 86363 164992 172726 329984 345452 659968 690904 1381808 1661521 2763616 3323042 5527232 6646084 11054464 13292168 22108928 26584336 44217856 53168672 106337344 111321907 212674688 222643814 425349376 445287628 850698752 890575256 1781150512 3562301024 7124602048 14249204096 28498408192 56996816384