Search a number
-
+
51812025522336 = 25321597211126357
BaseRepresentation
bin10111100011111011011010…
…11000000101100010100000
320210110011220010212021000200
423301331231120011202200
523242342012013203321
6302110041012545200
713625203202265102
oct1361755530054240
9223404803767020
1051812025522336
11155663a1741692
125989626622200
1322bab12197871
14cb1a03159572
155ecb3a2cad26
hex2f1f6d6058a0

51812025522336 has 72 divisors (see below), whose sum is σ = 147341500877844. Its totient is φ = 17270551710720.

The previous prime is 51812025522331. The next prime is 51812025522409. The reversal of 51812025522336 is 63322552021815.

51812025522336 is a `hidden beast` number, since 5 + 1 + 81 + 20 + 25 + 522 + 3 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46151642250000 + 5660383272336 = 6793500^2 + 2379156^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 51812025522291 and 51812025522300.

It is not an unprimeable number, because it can be changed into a prime (51812025522331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45436470 + ... + 46562826.

Almost surely, 251812025522336 is an apocalyptic number.

It is an amenable number.

51812025522336 is an abundant number, since it is smaller than the sum of its proper divisors (95529475355508).

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

51812025522336 is a wasteful number, since it uses less digits than its factorization.

51812025522336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286094 (or 1286083 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 51812025522336 in words is "fifty-one trillion, eight hundred twelve billion, twenty-five million, five hundred twenty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 159721 319442 479163 638884 958326 1126357 1277768 1437489 1916652 2252714 2555536 2874978 3379071 3833304 4505428 5111072 5749956 6758142 7666608 9010856 10137213 11499912 13516284 15333216 18021712 20274426 22999824 27032568 36043424 40548852 45999648 54065136 81097704 108130272 162195408 324390816 179902866397 359805732794 539708599191 719611465588 1079417198382 1439222931176 1619125797573 2158834396764 2878445862352 3238251595146 4317668793528 5756891724704 6476503190292 8635337587056 12953006380584 17270675174112 25906012761168 51812025522336