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10013494428 = 22377179619
BaseRepresentation
bin10010101001101100…
…11100110010011100
3221211212011020000000
421110312130302130
5131001423310203
64333343534300
7503100204210
oct112466346234
927755136000
1010013494428
1142793a1633
121b355ba390
13c37733742
146adc76940
153d91764a3
hex254d9cc9c

10013494428 has 192 divisors, whose sum is σ = 31806028800. Its totient is φ = 2692424448.

The previous prime is 10013494417. The next prime is 10013494487. The reversal of 10013494428 is 82449431001.

It is a happy number.

10013494428 is a `hidden beast` number, since 10 + 0 + 134 + 94 + 428 = 666.

10013494428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10013494392 and 10013494401.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1036203 + ... + 1045821.

It is an arithmetic number, because the mean of its divisors is an integer number (165656400).

Almost surely, 210013494428 is an apocalyptic number.

10013494428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10013494428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15903014400).

10013494428 is an abundant number, since it is smaller than the sum of its proper divisors (21792534372).

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

10013494428 is an equidigital number, since it uses as much as digits as its factorization.

10013494428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9668 (or 9648 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10013494428 in words is "ten billion, thirteen million, four hundred ninety-four thousand, four hundred twenty-eight".