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90343215900 = 223252731973211
BaseRepresentation
bin101010000100011100…
…0000001001100011100
322122012011200212211100
41110020320001030130
52440010330402100
6105300400353100
76345534444000
oct1241070011434
9278164625740
1090343215900
11353504322a3
1215613915790
138699c71602
144530720700
15253b575400
hex1508e0131c

90343215900 has 864 divisors, whose sum is σ = 354046784000. Its totient is φ = 19203609600.

The previous prime is 90343215899. The next prime is 90343215913. The reversal of 90343215900 is 951234309.

It is a happy number.

90343215900 is a `hidden beast` number, since 9 + 0 + 3 + 43 + 21 + 590 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 428166795 + ... + 428167005.

Almost surely, 290343215900 is an apocalyptic number.

90343215900 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 90343215900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177023392000).

90343215900 is an abundant number, since it is smaller than the sum of its proper divisors (263703568100).

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

90343215900 is a wasteful number, since it uses less digits than its factorization.

90343215900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 90343215900 in words is "ninety billion, three hundred forty-three million, two hundred fifteen thousand, nine hundred".