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5657446656 = 283215672
BaseRepresentation
bin1010100010011010…
…11100100100000000
3112121021111001211100
411101031130210000
543041301243111
62333214414400
7260124334401
oct52115344400
915537431740
105657446656
112443532454
12111a801400
136c211c194
143b951d9a8
15231a20756
hex15135c900

5657446656 has 81 divisors (see below), whose sum is σ = 16322229651. Its totient is φ = 1884612096.

The previous prime is 5657446621. The next prime is 5657446673. The reversal of 5657446656 is 6566447565.

The square root of 5657446656 is 75216.

It is a perfect power (a square), and thus also a powerful number.

5657446656 is a `hidden beast` number, since 5 + 6 + 574 + 4 + 6 + 65 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3609585 + ... + 3611151.

Almost surely, 25657446656 is an apocalyptic number.

5657446656 is the 75216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5657446656

5657446656 is an abundant number, since it is smaller than the sum of its proper divisors (10664782995).

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

5657446656 is an frugal number, since it uses more digits than its factorization.

5657446656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156 (or 1572 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 54.

The cubic root of 5657446656 is about 1781.8596328953.

Subtracting 5657446656 from its reverse (6566447565), we obtain a palindrome (909000909).

The spelling of 5657446656 in words is "five billion, six hundred fifty-seven million, four hundred forty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 1567 2304 3134 4701 6268 9402 12536 14103 18804 25072 28206 37608 50144 56412 75216 100288 112824 150432 200576 225648 300864 401152 451296 601728 902592 1203456 1805184 2455489 3610368 4910978 7366467 9821956 14732934 19643912 22099401 29465868 39287824 44198802 58931736 78575648 88397604 117863472 157151296 176795208 235726944 314302592 353590416 471453888 628605184 707180832 942907776 1414361664 1885815552 2828723328 5657446656