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10042025960 = 235464954001
BaseRepresentation
bin10010101101000110…
…10010011111101000
3221220211211202220102
421112203102133220
5131031224312320
64340243244532
7503564545421
oct112643223750
927824752812
1010042025960
11429350980a
121b43079748
13c406131c5
146b3982648
153db910175
hex2568d27e8

10042025960 has 32 divisors (see below), whose sum is σ = 22599837000. Its totient is φ = 4015872000.

The previous prime is 10042025897. The next prime is 10042025963. The reversal of 10042025960 is 6952024001.

It is a happy number.

10042025960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9197193604 + 844832356 = 95902^2 + 29066^2 .

It is not an unprimeable number, because it can be changed into a prime (10042025963) 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, 158960 + ... + 212960.

Almost surely, 210042025960 is an apocalyptic number.

10042025960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042025960 is an abundant number, since it is smaller than the sum of its proper divisors (12557811040).

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

10042025960 is a wasteful number, since it uses less digits than its factorization.

10042025960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58661 (or 58657 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 10042025960 its reverse (6952024001), we get a palindrome (16994049961).

The spelling of 10042025960 in words is "ten billion, forty-two million, twenty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 4649 9298 18596 23245 37192 46490 54001 92980 108002 185960 216004 270005 432008 540010 1080020 2160040 251050649 502101298 1004202596 1255253245 2008405192 2510506490 5021012980 10042025960