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53682109636 = 223123721012
BaseRepresentation
bin110001111111101100…
…111111110011000100
312010120012100201110211
4301333230333303010
51334420110002021
640354453525204
73610202255161
oct617754776304
9163505321424
1053682109636
1120848173571
12a4a2043804
1350a686b51c
142853775068
1515e2c753e1
hexc7fb3fcc4

53682109636 has 81 divisors (see below), whose sum is σ = 100763927271. Its totient is φ = 25022952000.

The previous prime is 53682109633. The next prime is 53682109643. The reversal of 53682109636 is 63690128635.

It is a happy number.

The square root of 53682109636 is 231694.

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

It can be written as a sum of positive squares in 4 ways, for example, as 39980002500 + 13702107136 = 199950^2 + 117056^2 .

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 53682109636.

It is not an unprimeable number, because it can be changed into a prime (53682109633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 531505986 + ... + 531506086.

Almost surely, 253682109636 is an apocalyptic number.

53682109636 is the 231694-th square number.

It is an amenable number.

53682109636 is a deficient number, since it is larger than the sum of its proper divisors (47081817635).

53682109636 is a wasteful number, since it uses less digits than its factorization.

53682109636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 49.

Multiplying 53682109636 by its sum of digits (49), we get a square (2630423372164 = 16218582).

The spelling of 53682109636 in words is "fifty-three billion, six hundred eighty-two million, one hundred nine thousand, six hundred thirty-six".

Divisors: 1 2 4 31 37 62 74 101 124 148 202 404 961 1147 1369 1922 2294 2738 3131 3737 3844 4588 5476 6262 7474 10201 12524 14948 20402 35557 40804 42439 71114 84878 97061 115847 138269 142228 169756 194122 231694 276538 316231 377437 388244 463388 553076 632462 754874 1264924 1315609 1509748 2631218 3591257 4286339 5262436 7182514 8572678 9803161 11700547 13965169 14365028 17145356 19606322 23401094 27930338 39212644 46802188 55860676 132876509 265753018 362716957 432920239 531506036 725433914 865840478 1450867828 1731680956 13420527409 26841054818 53682109636