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90398488320 = 28355741519
BaseRepresentation
bin101010000110000101…
…0110111011100000000
322122100000201000100000
41110030022313130000
52440114003111240
6105310053200000
76350105321040
oct1241412673400
9278300630300
1090398488320
1135379654288
121562a330000
1386a855479a
144537bcb720
152541342430
hex150c2b7700

90398488320 has 432 divisors, whose sum is σ = 370698531840. Its totient is φ = 20662013952.

The previous prime is 90398488273. The next prime is 90398488331. The reversal of 90398488320 is 2388489309.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2156521 + ... + 2198039.

Almost surely, 290398488320 is an apocalyptic number.

90398488320 is a gapful number since it is divisible by the number (90) 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 90398488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185349265920).

90398488320 is an abundant number, since it is smaller than the sum of its proper divisors (280300043520).

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

90398488320 is an equidigital number, since it uses as much as digits as its factorization.

90398488320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41562 (or 41536 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 90398488320 in words is "ninety billion, three hundred ninety-eight million, four hundred eighty-eight thousand, three hundred twenty".