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12610480832 = 268321111251
BaseRepresentation
bin10111011111010010…
…01010101011000000
31012112211211210121122
423233221022223000
5201311240341312
65443154211412
7624333214145
oct135751125300
935484753548
1012610480832
115391318994
12253b283b68
13125c78caa1
14878b323cc
154dc15db72
hex2efa4aac0

12610480832 has 56 divisors (see below), whose sum is σ = 25447703232. Its totient is φ = 6199200000.

The previous prime is 12610480811. The next prime is 12610480837. The reversal of 12610480832 is 23808401621.

12610480832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12610480792 and 12610480801.

It is not an unprimeable number, because it can be changed into a prime (12610480837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1115207 + ... + 1126457.

It is an arithmetic number, because the mean of its divisors is an integer number (454423272).

Almost surely, 212610480832 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 12610480832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12723851616).

12610480832 is an abundant number, since it is smaller than the sum of its proper divisors (12837222400).

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

12610480832 is a wasteful number, since it uses less digits than its factorization.

12610480832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11557 (or 11547 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The spelling of 12610480832 in words is "twelve billion, six hundred ten million, four hundred eighty thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 83 166 211 332 422 664 844 1328 1688 2656 3376 5312 6752 11251 13504 17513 22502 35026 45004 70052 90008 140104 180016 280208 360032 560416 720064 933833 1120832 1867666 2373961 3735332 4747922 7470664 9495844 14941328 18991688 29882656 37983376 59765312 75966752 151933504 197038763 394077526 788155052 1576310104 3152620208 6305240416 12610480832