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52353964296 = 23323729367073
BaseRepresentation
bin110000110000100010…
…100001100100001000
312000010122012221120200
4300300202201210020
51324210103324141
640015011052200
73532244232264
oct606042414410
9160118187520
1052353964296
11202264a2297
12a1912a1060
134c2465a7ca
1427692090a4
151566375ab6
hexc308a1908

52353964296 has 96 divisors (see below), whose sum is σ = 146123391960. Its totient is φ = 16921460736.

The previous prime is 52353964177. The next prime is 52353964297. The reversal of 52353964296 is 69246935325.

It is a happy number.

52353964296 is a `hidden beast` number, since 5 + 23 + 539 + 64 + 29 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45177502500 + 7176461796 = 212550^2 + 84714^2 .

It is not an unprimeable number, because it can be changed into a prime (52353964297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 747016 + ... + 814088.

Almost surely, 252353964296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52353964296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73061695980).

52353964296 is an abundant number, since it is smaller than the sum of its proper divisors (93769427664).

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

52353964296 is a wasteful number, since it uses less digits than its factorization.

52353964296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67415 (or 67408 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 54.

The spelling of 52353964296 in words is "fifty-two billion, three hundred fifty-three million, nine hundred sixty-four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 293 296 333 444 586 666 879 888 1172 1332 1758 2344 2637 2664 3516 5274 7032 10548 10841 21096 21682 32523 43364 65046 67073 86728 97569 130092 134146 195138 201219 260184 268292 390276 402438 536584 603657 780552 804876 1207314 1609752 2414628 2481701 4829256 4963402 7445103 9926804 14890206 19652389 19853608 22335309 29780412 39304778 44670618 58957167 59560824 78609556 89341236 117914334 157219112 176871501 178682472 235828668 353743002 471657336 707486004 727138393 1414972008 1454276786 2181415179 2908553572 4362830358 5817107144 6544245537 8725660716 13088491074 17451321432 26176982148 52353964296