Search a number
-
+
53163036135 = 32511210791249
BaseRepresentation
bin110001100000110000…
…111000110111100111
312002020000122001111100
4301200300320313213
51332334214124020
640231152211143
73561300231306
oct614060706747
9162200561440
1053163036135
1120601169a00
12a378239ab3
135023168941
14280485643d
1515b23e0a90
hexc60c38de7

53163036135 has 72 divisors (see below), whose sum is σ = 102235770000. Its totient is φ = 25534840320.

The previous prime is 53163036083. The next prime is 53163036217.

53163036135 is a `hidden beast` number, since 5 + 3 + 1 + 6 + 30 + 3 + 613 + 5 = 666.

53163036135 is nontrivially palindromic in base 10.

53163036135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 53163036135 - 26 = 53163036071 is a prime.

It is a super-2 number, since 2×531630361352 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 53163036135.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 536991 + ... + 628239.

It is an arithmetic number, because the mean of its divisors is an integer number (1419941250).

Almost surely, 253163036135 is an apocalyptic number.

53163036135 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53163036135 is a deficient number, since it is larger than the sum of its proper divisors (49072733865).

53163036135 is a wasteful number, since it uses less digits than its factorization.

53163036135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91389 (or 91375 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

It can be divided in two parts, 531630 and 36135, that added together give a palindrome (567765).

The spelling of 53163036135 in words is "fifty-three billion, one hundred sixty-three million, thirty-six thousand, one hundred thirty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 107 121 165 321 363 495 535 605 963 1089 1177 1605 1815 3531 4815 5445 5885 10593 12947 17655 38841 52965 64735 91249 116523 194205 273747 456245 582615 821241 1003739 1368735 3011217 4106205 5018695 9033651 9763643 11041129 15056085 29290929 33123387 45168255 48818215 55205645 87872787 99370161 107400073 146454645 165616935 322200219 439363935 496850805 537000365 966600657 1181400803 1611001095 3544202409 4833003285 5907004015 10632607227 17721012045 53163036135