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11923256142 = 23272372771319
BaseRepresentation
bin10110001101010111…
…00111001101001110
31010202221201011120100
423012223213031032
5143404323144032
65251044431530
7601320001500
oct130653471516
933687634510
1011923256142
1150694048a6
1223890a85a6
1311802a4565
14811761d70
1549bb6197c
hex2c6ae734e

11923256142 has 144 divisors (see below), whose sum is σ = 30998579040. Its totient is φ = 3300103296.

The previous prime is 11923256113. The next prime is 11923256167. The reversal of 11923256142 is 24165232911.

11923256142 is a `hidden beast` number, since 1 + 1 + 9 + 2 + 32 + 5 + 614 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11923256097 and 11923256106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9038959 + ... + 9040277.

It is an arithmetic number, because the mean of its divisors is an integer number (215267910).

Almost surely, 211923256142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11923256142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15499289520).

11923256142 is an abundant number, since it is smaller than the sum of its proper divisors (19075322898).

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

11923256142 is a wasteful number, since it uses less digits than its factorization.

11923256142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1645 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The spelling of 11923256142 in words is "eleven billion, nine hundred twenty-three million, two hundred fifty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 49 63 74 98 111 126 147 222 259 277 294 333 441 518 554 666 777 831 882 1319 1554 1662 1813 1939 2331 2493 2638 3626 3878 3957 4662 4986 5439 5817 7914 9233 10249 10878 11634 11871 13573 16317 17451 18466 20498 23742 27146 27699 30747 32634 34902 40719 48803 55398 61494 64631 71743 81438 83097 92241 97606 122157 129262 143486 146409 166194 184482 193893 215229 244314 292818 341621 365363 387786 430458 439227 502201 581679 645687 683242 730726 878454 1004402 1024863 1096089 1163358 1291374 1506603 2049726 2192178 2391347 2557541 3013206 3074589 3288267 4519809 4782694 5115082 6149178 6576534 7174041 7672623 9039618 13518431 14348082 15345246 17902787 21522123 23017869 27036862 35805574 40555293 43044246 46035738 53708361 81110586 94629017 107416722 121665879 161125083 189258034 243331758 283887051 322250166 567774102 662403119 851661153 1324806238 1703322306 1987209357 3974418714 5961628071 11923256142