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53533524252 = 2231319139129937
BaseRepresentation
bin110001110110110110…
…001100000100011100
312010011211202210122110
4301312312030010130
51334114040234002
640332025114020
73603416306505
oct616666140434
9163154683573
1053533524252
112078130812a
12a460328910
135081b46490
14283bb37bac
1515d4bc4e6c
hexc76d8c11c

53533524252 has 96 divisors (see below), whose sum is σ = 142619948800. Its totient is φ = 15492529152.

The previous prime is 53533524221. The next prime is 53533524323. The reversal of 53533524252 is 25242533535.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 53533524252.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347028 + ... + 476964.

Almost surely, 253533524252 is an apocalyptic number.

53533524252 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53533524252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71309974400).

53533524252 is an abundant number, since it is smaller than the sum of its proper divisors (89086424548).

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

53533524252 is a wasteful number, since it uses less digits than its factorization.

53533524252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130115 (or 130113 counting only the distinct ones).

The product of its digits is 540000, while the sum is 39.

The spelling of 53533524252 in words is "fifty-three billion, five hundred thirty-three million, five hundred twenty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 139 156 228 247 278 417 494 556 741 834 988 1482 1668 1807 2641 2964 3614 5282 5421 7228 7923 10564 10842 15846 21684 31692 34333 68666 102999 129937 137332 205998 259874 389811 411996 519748 779622 1559244 1689181 2468803 3378362 4937606 5067543 6756724 7406409 9875212 10135086 14812818 18061243 20270172 29625636 32094439 36122486 54183729 64188878 72244972 96283317 108367458 128377756 192566634 216734916 234796159 343163617 385133268 469592318 686327234 704388477 939184636 1029490851 1372654468 1408776954 2058981702 2817553908 4117963404 4461127021 8922254042 13383381063 17844508084 26766762126 53533524252