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10194198000 = 2435372361173
BaseRepresentation
bin10010111111001111…
…10001110111110000
3222022110011220200220
421133213301313300
5131334203314000
64403321013040
7510423152610
oct113747616760
928273156626
1010194198000
1143613a4928
121b86024180
13c65cc292c
146c9c74a40
153e9e6d1a0
hex25f9f1df0

10194198000 has 640 divisors, whose sum is σ = 40067149824. Its totient is φ = 2179584000.

The previous prime is 10194197903. The next prime is 10194198013. The reversal of 10194198000 is 89149101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58925914 + ... + 58926086.

Almost surely, 210194198000 is an apocalyptic number.

10194198000 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 10194198000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20033574912).

10194198000 is an abundant number, since it is smaller than the sum of its proper divisors (29872951824).

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

10194198000 is a wasteful number, since it uses less digits than its factorization.

10194198000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The spelling of 10194198000 in words is "ten billion, one hundred ninety-four million, one hundred ninety-eight thousand".