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135623234240532 = 223219238620851401
BaseRepresentation
bin11110110101100100111110…
…101100110100000000010100
3122210012110021101022011212100
4132311210332230310000110
5120234022340431144112
61200240241555122100
740365312114125343
oct3665447654640024
9583173241264770
10135623234240532
113a239544047065
12132648368a3330
135a8a2a6a4b26c
14256c2b184db5a
1510a2d117b72dc
hex7b593eb34014

135623234240532 has 72 divisors (see below), whose sum is σ = 376558789239360. Its totient is φ = 40966285852800.

The previous prime is 135623234240503. The next prime is 135623234240537. The reversal of 135623234240532 is 235042432326531.

135623234240532 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 2 + 3 + 234 + 2 + 405 + 3 + 2 = 666.

It is a super-2 number, since 2×1356232342405322 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135623234240537) 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 23 ways as a sum of consecutive naturals, for example, 4310409969 + ... + 4310441432.

It is an arithmetic number, because the mean of its divisors is an integer number (5229983183880).

Almost surely, 2135623234240532 is an apocalyptic number.

135623234240532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135623234240532 is an abundant number, since it is smaller than the sum of its proper divisors (240935554998828).

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

135623234240532 is a wasteful number, since it uses less digits than its factorization.

135623234240532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8620851453 (or 8620851448 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 45.

The spelling of 135623234240532 in words is "one hundred thirty-five trillion, six hundred twenty-three billion, two hundred thirty-four million, two hundred forty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 23 36 38 46 57 69 76 92 114 138 171 207 228 276 342 414 437 684 828 874 1311 1748 2622 3933 5244 7866 15732 8620851401 17241702802 25862554203 34483405604 51725108406 77587662609 103450216812 155175325218 163796176619 198279582223 310350650436 327592353238 396559164446 491388529857 594838746669 655184706476 793118328892 982777059714 1189677493338 1474165589571 1784516240007 1965554119428 2379354986676 2948331179142 3569032480014 3767312062237 5896662358284 7138064960028 7534624124474 11301936186711 15069248248948 22603872373422 33905808560133 45207744746844 67811617120266 135623234240532