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10042045904 = 241157057079
BaseRepresentation
bin10010101101000110…
…10111010111010000
3221220211212210021002
421112203113113100
5131031230432104
64340243521132
7503564660522
oct112643272720
927824783232
1010042045904
1142935227a0
121b430891a8
13c4061c2c7
146b3989a12
153db91601e
hex2568d75d0

10042045904 has 20 divisors (see below), whose sum is σ = 21225233760. Its totient is φ = 4564566240.

The previous prime is 10042045841. The next prime is 10042045907. The reversal of 10042045904 is 40954024001.

10042045904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042045907) 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 3 ways as a sum of consecutive naturals, for example, 28528364 + ... + 28528715.

It is an arithmetic number, because the mean of its divisors is an integer number (1061261688).

Almost surely, 210042045904 is an apocalyptic number.

It is an amenable number.

10042045904 is an abundant number, since it is smaller than the sum of its proper divisors (11183187856).

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

10042045904 is a wasteful number, since it uses less digits than its factorization.

10042045904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57057098 (or 57057092 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 10042045904 its reverse (40954024001), we get a palindrome (50996069905).

The spelling of 10042045904 in words is "ten billion, forty-two million, forty-five thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 176 57057079 114114158 228228316 456456632 627627869 912913264 1255255738 2510511476 5021022952 10042045904