Search a number
-
+
123536542344 = 23317367825029
BaseRepresentation
bin111001100001101011…
…0100000101010001000
3102210212110210120120020
41303003112200222020
54011000323323334
6132430224500440
711632231166325
oct1630326405210
9383773716506
10123536542344
1148434180796
121bb3817a720
13b859aa9787
145d9ccd7b4c
1533306cee49
hex1cc35a0a88

123536542344 has 64 divisors (see below), whose sum is σ = 327899923200. Its totient is φ = 38650911744.

The previous prime is 123536542331. The next prime is 123536542357. The reversal of 123536542344 is 443245635321.

123536542344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (123536542331) and next prime (123536542357).

It is a super-2 number, since 2×1235365423442 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123536542296 and 123536542305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262779 + ... + 562250.

It is an arithmetic number, because the mean of its divisors is an integer number (5123436300).

Almost surely, 2123536542344 is an apocalyptic number.

It is an amenable number.

123536542344 is an abundant number, since it is smaller than the sum of its proper divisors (204363380856).

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

123536542344 is a wasteful number, since it uses less digits than its factorization.

123536542344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825422 (or 825418 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 42.

The spelling of 123536542344 in words is "one hundred twenty-three billion, five hundred thirty-six million, five hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 367 408 734 1101 1468 2202 2936 4404 6239 8808 12478 18717 24956 37434 49912 74868 149736 825029 1650058 2475087 3300116 4950174 6600232 9900348 14025493 19800696 28050986 42076479 56101972 84152958 112203944 168305916 302785643 336611832 605571286 908356929 1211142572 1816713858 2422285144 3633427716 5147355931 7266855432 10294711862 15442067793 20589423724 30884135586 41178847448 61768271172 123536542344