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10342485832 = 237419414787
BaseRepresentation
bin10011010000111010…
…11100111101001000
3222200210012201100211
421220131130331020
5132140134021312
64430135210504
7514203451630
oct115035347510
928623181324
1010342485832
114428077758
122007816a34
13c8a942403
147018356c0
15407eb03a7
hex26875cf48

10342485832 has 64 divisors (see below), whose sum is σ = 22731891840. Its totient is φ = 4318886400.

The previous prime is 10342485827. The next prime is 10342485841. The reversal of 10342485832 is 23858424301.

10342485832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2158143 + ... + 2162929.

It is an arithmetic number, because the mean of its divisors is an integer number (355185810).

Almost surely, 210342485832 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 10342485832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11365945920).

10342485832 is an abundant number, since it is smaller than the sum of its proper divisors (12389406008).

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

10342485832 is a wasteful number, since it uses less digits than its factorization.

10342485832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5782 (or 5778 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 10342485832 in words is "ten billion, three hundred forty-two million, four hundred eighty-five thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 574 941 1148 1882 2296 3764 4787 6587 7528 9574 13174 19148 26348 33509 38296 38581 52696 67018 77162 134036 154324 196267 268072 270067 308648 392534 540134 785068 1080268 1373869 1570136 2160536 2747738 4504567 5495476 9009134 10990952 18018268 31531969 36036536 63063938 126127876 184687247 252255752 369374494 738748988 1292810729 1477497976 2585621458 5171242916 10342485832