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12951822090496 = 282249292
BaseRepresentation
bin1011110001111001010011…
…0000010100000100000000
31200212011220202021010220211
42330132110300110010000
53144200312423343441
643313552424443504
72504511140210002
oct274362460240400
950764822233824
1012951822090496
114143922a0a263
121552197019594
1372c475571563
1432ac2b6bc372
15176d8ec60a81
hexbc794c14100

12951822090496 has 27 divisors (see below), whose sum is σ = 25853166065181. Its totient is φ = 6475882254336.

The previous prime is 12951822090481. The next prime is 12951822090497. The reversal of 12951822090496 is 69409022815921.

The square root of 12951822090496 is 3598864.

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

It can be written as a sum of positive squares in only one way, i.e., 6740960624896 + 6210861465600 = 2596336^2 + 2492160^2 .

It is a super-2 number, since 2×129518220904962 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12951822090496.

It is not an unprimeable number, because it can be changed into a prime (12951822090497) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 57469360 + ... + 57694288.

Almost surely, 212951822090496 is an apocalyptic number.

12951822090496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12951822090496 is the 3598864-th square number.

It is an amenable number.

12951822090496 is a deficient number, since it is larger than the sum of its proper divisors (12901343974685).

12951822090496 is an frugal number, since it uses more digits than its factorization.

12951822090496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449874 (or 224931 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 58.

The spelling of 12951822090496 in words is "twelve trillion, nine hundred fifty-one billion, eight hundred twenty-two million, ninety thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 224929 449858 899716 1799432 3598864 7197728 14395456 28790912 57581824 50593055041 101186110082 202372220164 404744440328 809488880656 1618977761312 3237955522624 6475911045248 12951822090496