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10012019904 = 263519311093
BaseRepresentation
bin10010101001100001…
…10100110011000000
3221211202101022100000
421110300310303000
5131001034114104
64333252200000
7503051523255
oct112460646300
927752338300
1010012019904
114278584817
121b35009000
13c37338543
146ad9b142c
153d8e84639
hex254c34cc0

10012019904 has 336 divisors, whose sum is σ = 32366996480. Its totient is φ = 3056901120.

The previous prime is 10012019893. The next prime is 10012019917. The reversal of 10012019904 is 40991021001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9159582 + ... + 9160674.

Almost surely, 210012019904 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 10012019904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16183498240).

10012019904 is an abundant number, since it is smaller than the sum of its proper divisors (22354976576).

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

10012019904 is a wasteful number, since it uses less digits than its factorization.

10012019904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 10012019904 in words is "ten billion, twelve million, nineteen thousand, nine hundred four".