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10194993432 = 233213172389313
BaseRepresentation
bin10010111111010101…
…10100000100011000
3222022111200022211100
421133222310010120
5131334404242212
64403350031400
7510433004631
oct113752640430
928274608740
1010194993432
114361898508
121b86348560
13c662109c0
146ca000888
153ea078bdc
hex25fab4118

10194993432 has 384 divisors, whose sum is σ = 33328713600. Its totient is φ = 2783379456.

The previous prime is 10194993421. The next prime is 10194993437. The reversal of 10194993432 is 23439949101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10194993437) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32571708 + ... + 32572020.

It is an arithmetic number, because the mean of its divisors is an integer number (86793525).

Almost surely, 210194993432 is an apocalyptic number.

10194993432 is a gapful number since it is divisible by the number (12) 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 10194993432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16664356800).

10194993432 is an abundant number, since it is smaller than the sum of its proper divisors (23133720168).

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

10194993432 is a wasteful number, since it uses less digits than its factorization.

10194993432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 10194993432 in words is "ten billion, one hundred ninety-four million, nine hundred ninety-three thousand, four hundred thirty-two".