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12536242136 = 23111712765983
BaseRepresentation
bin10111010110011011…
…11101111111011000
31012100200011002021022
423223031331333120
5201133234222021
65431543102012
7622442204615
oct135315757730
935320132238
1012536242136
1153534222a0
12251a441908
13124a298b72
1486cd2950c
154d58971ab
hex2eb37dfd8

12536242136 has 64 divisors (see below), whose sum is σ = 27364884480. Its totient is φ = 5320788480.

The previous prime is 12536242099. The next prime is 12536242139. The reversal of 12536242136 is 63124263521.

It is a junction number, because it is equal to n+sod(n) for n = 12536242096 and 12536242105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12536242139) 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 15 ways as a sum of consecutive naturals, for example, 157001 + ... + 222983.

It is an arithmetic number, because the mean of its divisors is an integer number (427576320).

Almost surely, 212536242136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12536242136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13682442240).

12536242136 is an abundant number, since it is smaller than the sum of its proper divisors (14828642344).

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

12536242136 is a wasteful number, since it uses less digits than its factorization.

12536242136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66144 (or 66140 counting only the distinct ones).

The product of its digits is 51840, while the sum is 35.

The spelling of 12536242136 in words is "twelve billion, five hundred thirty-six million, two hundred forty-two thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 127 136 187 254 374 508 748 1016 1397 1496 2159 2794 4318 5588 8636 11176 17272 23749 47498 65983 94996 131966 189992 263932 527864 725813 1121711 1451626 2243422 2903252 4486844 5806504 8379841 8973688 12338821 16759682 24677642 33519364 49355284 67038728 92178251 98710568 142457297 184356502 284914594 368713004 569829188 737426008 1139658376 1567030267 3134060534 6268121068 12536242136