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90398204928 = 2103323142157
BaseRepresentation
bin101010000110000100…
…1110010010000000000
322122100000011121121000
41110030021302100000
52440113420024203
6105310043132000
76350103030603
oct1241411622000
9278300147530
1090398204928
1135379480379
121562a214000
1386a84857b5
144537b5633a
1525412d84a3
hex150c272400

90398204928 has 176 divisors, whose sum is σ = 279357528960. Its totient is φ = 28822413312.

The previous prime is 90398204893. The next prime is 90398205017. The reversal of 90398204928 is 82940289309.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564826 + ... + 706982.

Almost surely, 290398204928 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 90398204928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139678764480).

90398204928 is an abundant number, since it is smaller than the sum of its proper divisors (188959324032).

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

90398204928 is a wasteful number, since it uses less digits than its factorization.

90398204928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142209 (or 142185 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 90398204928 in words is "ninety billion, three hundred ninety-eight million, two hundred four thousand, nine hundred twenty-eight".