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10004163400 = 235272111753103
BaseRepresentation
bin10010101000100101…
…10110101101001000
3221211012121011020101
421110102312231020
5130442031212100
64332411535144
7502624662100
oct112422665510
927735534211
1010004163400
1142740a9040
121b3245a4b4
13c3581751a
146ac928200
153d843186a
hex2544b6b48

10004163400 has 576 divisors, whose sum is σ = 32152049280. Its totient is φ = 2851430400.

The previous prime is 10004163391. The next prime is 10004163439. The reversal of 10004163400 is 436140001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 97127749 + ... + 97127851.

It is an arithmetic number, because the mean of its divisors is an integer number (55819530).

Almost surely, 210004163400 is an apocalyptic number.

10004163400 is a gapful number since it is divisible by the number (10) 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 10004163400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16076024640).

10004163400 is an abundant number, since it is smaller than the sum of its proper divisors (22147885880).

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

10004163400 is a wasteful number, since it uses less digits than its factorization.

10004163400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The spelling of 10004163400 in words is "ten billion, four million, one hundred sixty-three thousand, four hundred".