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56138665145476 = 22192372734
BaseRepresentation
bin11001100001110110011010…
…01100011011010010000100
321100202210201002122001121211
430300323031030123102010
524324233441234123401
6315221425143421204
714552612312263414
oct1460731514332204
9240683632561554
1056138665145476
1116984301a40721
126368071454804
132542b12c252c4
14dc11a9630644
15675467541951
hex330ecd31b484

56138665145476 has 135 divisors (see below), whose sum is σ = 108043567830009. Its totient is φ = 25518867875712.

The previous prime is 56138665145443. The next prime is 56138665145597. The reversal of 56138665145476 is 67454156683165.

The square root of 56138665145476 is 7492574.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2098876562500 + 54039788582976 = 1448750^2 + 7351176^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 769022810176 + ... + 769022810248.

Almost surely, 256138665145476 is an apocalyptic number.

56138665145476 is the 7492574-th square number.

It is an amenable number.

56138665145476 is a deficient number, since it is larger than the sum of its proper divisors (51904902684533).

56138665145476 is an frugal number, since it uses more digits than its factorization.

56138665145476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 131 counting only the distinct ones).

The product of its digits is 435456000, while the sum is 67.

The spelling of 56138665145476 in words is "fifty-six trillion, one hundred thirty-eight billion, six hundred sixty-five million, one hundred forty-five thousand, four hundred seventy-six".

Divisors: 1 2 4 19 37 38 73 74 76 146 148 292 361 703 722 1369 1387 1406 1444 2701 2738 2774 2812 5329 5402 5476 5548 10658 10804 13357 21316 26011 26353 26714 51319 52022 52706 53428 99937 101251 102638 104044 105412 197173 199874 202502 205276 389017 394346 399748 405004 494209 778034 788692 975061 988418 1556068 1898803 1923769 1950122 1976836 3746287 3797606 3847538 3900244 7295401 7391323 7492574 7595212 7695076 14393629 14590802 14782646 14985148 28398241 28787258 29181604 29565292 36077257 56796482 57574516 71179453 72154514 113592964 138612619 140435137 142358906 144309028 273478951 277225238 280870274 284717812 532564273 539566579 546957902 554450476 561740548 1050734917 1065128546 1079133158 1093915804 2101469834 2130257092 2158266316 2633639761 4202939668 5196100069 5267279522 10118721187 10251765001 10392200138 10534559044 19963963423 20237442374 20503530002 20784400276 38877191929 39927926846 40474884748 41007060004 77754383858 79855853692 155508767716 192255702553 379315305037 384511405106 738666646651 758630610074 769022810212 1477333293302 1517261220148 2954666586604 14034666286369 28069332572738 56138665145476