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51664380804 = 22324328812
BaseRepresentation
bin110000000111011011…
…111110001110000100
311221100120122110212100
4300013123332032010
51321302040141204
635422334552100
73506201663631
oct600733761604
9157316573770
1051664380804
111aa02217a83
12a01a368630
134b4482773a
1427017c3188
151525a5ea39
hexc076fe384

51664380804 has 81 divisors (see below), whose sum is σ = 133855758309. Its totient is φ = 16801868160.

The previous prime is 51664380793. The next prime is 51664380811. The reversal of 51664380804 is 40808346615.

The square root of 51664380804 is 227298.

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

51664380804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9063420804 + 42600960000 = 95202^2 + 206400^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 51664380804.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 58642444 + ... + 58643324.

Almost surely, 251664380804 is an apocalyptic number.

51664380804 is the 227298-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51664380804

51664380804 is an abundant number, since it is smaller than the sum of its proper divisors (82191377505).

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

51664380804 is an equidigital number, since it uses as much as digits as its factorization.

51664380804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 51664380804 in words is "fifty-one billion, six hundred sixty-four million, three hundred eighty thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 881 1548 1762 1849 2643 3524 3698 5286 5547 7396 7929 10572 11094 15858 16641 22188 31716 33282 37883 66564 75766 113649 151532 227298 340947 454596 681894 776161 1363788 1552322 1628969 2328483 3104644 3257938 4656966 4886907 6515876 6985449 9313932 9773814 13970898 14660721 19547628 27941796 29321442 33374923 58642884 66749846 100124769 133499692 200249538 300374307 400499076 600748614 1201497228 1435121689 2870243378 4305365067 5740486756 8610730134 12916095201 17221460268 25832190402 51664380804