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12352928032 = 254710337951
BaseRepresentation
bin10111000000100101…
…01011100100100000
31011212220012202121001
423200102223210200
5200244322144112
65401434041344
7615055104304
oct134022534440
934786182531
1012352928032
1152699a6735
122488b79254
13121b304693
1485284bd04
154c4736c57
hex2e04ab920

12352928032 has 48 divisors (see below), whose sum is σ = 24864440832. Its totient is φ = 6038438400.

The previous prime is 12352928017. The next prime is 12352928047. The reversal of 12352928032 is 23082925321.

It is an interprime number because it is at equal distance from previous prime (12352928017) and next prime (12352928047).

It is a junction number, because it is equal to n+sod(n) for n = 12352927982 and 12352928000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1549657 + ... + 1557607.

It is an arithmetic number, because the mean of its divisors is an integer number (518009184).

Almost surely, 212352928032 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 12352928032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12432220416).

12352928032 is an abundant number, since it is smaller than the sum of its proper divisors (12511512800).

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

12352928032 is a wasteful number, since it uses less digits than its factorization.

12352928032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9041 (or 9033 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 12352928032 in words is "twelve billion, three hundred fifty-two million, nine hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 4 8 16 32 47 94 188 376 752 1033 1504 2066 4132 7951 8264 15902 16528 31804 33056 48551 63608 97102 127216 194204 254432 373697 388408 747394 776816 1494788 1553632 2989576 5979152 8213383 11958304 16426766 32853532 65707064 131414128 262828256 386029001 772058002 1544116004 3088232008 6176464016 12352928032