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53525412342 = 23237418092423
BaseRepresentation
bin110001110110010111…
…001111100111110110
312010011021111200012100
4301312113033213312
51334110001143332
640331135202530
73603260332563
oct616627174766
9163137450170
1053525412342
1120777777576
12a459676446
13508026612c
14283aa2586a
1515d412167c
hexc765cf9f6

53525412342 has 96 divisors (see below), whose sum is σ = 122212359360. Its totient is φ = 16908272640.

The previous prime is 53525412341. The next prime is 53525412403. The reversal of 53525412342 is 24321452535.

53525412342 is a `hidden beast` number, since 5 + 3 + 52 + 541 + 23 + 42 = 666.

It is a super-2 number, since 2×535254123422 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53525412297 and 53525412306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53525412341) 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 47 ways as a sum of consecutive naturals, for example, 22089343 + ... + 22091765.

It is an arithmetic number, because the mean of its divisors is an integer number (1273045410).

Almost surely, 253525412342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53525412342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61106179680).

53525412342 is an abundant number, since it is smaller than the sum of its proper divisors (68686947018).

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

53525412342 is a wasteful number, since it uses less digits than its factorization.

53525412342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3318 (or 3315 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

Adding to 53525412342 its reverse (24321452535), we get a palindrome (77846864877).

The spelling of 53525412342 in words is "fifty-three billion, five hundred twenty-five million, four hundred twelve thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 37 41 74 82 111 123 222 246 333 369 666 738 809 1517 1618 2423 2427 3034 4551 4846 4854 7269 7281 9102 13653 14538 14562 21807 27306 29933 33169 43614 59866 66338 89651 89799 99343 99507 179302 179598 198686 199014 268953 269397 298029 298521 537906 538794 596058 597042 806859 894087 1227253 1613718 1788174 1960207 2454506 3675691 3681759 3920414 5880621 7351382 7363518 11027073 11045277 11761242 17641863 22054146 22090554 33081219 35283726 66162438 72527659 80368487 145055318 160736974 217582977 241105461 435165954 482210922 652748931 723316383 1305497862 1446632766 2973634019 5947268038 8920902057 17841804114 26762706171 53525412342