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90326691000 = 23335371397379
BaseRepresentation
bin101010000011111100…
…0111110110010111000
322122011000121022221000
41110013320332302320
52434442113103000
6105255010245000
76345244130310
oct1240770766270
9278130538830
1090326691000
1135342075957
121560a286760
138696706b70
14452c45c440
152539dae000
hex1507e3ecb8

90326691000 has 1024 divisors, whose sum is σ = 390394368000. Its totient is φ = 18811699200.

The previous prime is 90326690981. The next prime is 90326691001. The reversal of 90326691000 is 19662309.

It is a super-2 number, since 2×903266910002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90326691001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 238328811 + ... + 238329189.

It is an arithmetic number, because the mean of its divisors is an integer number (381244500).

Almost surely, 290326691000 is an apocalyptic number.

90326691000 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 90326691000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195197184000).

90326691000 is an abundant number, since it is smaller than the sum of its proper divisors (300067677000).

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

90326691000 is a wasteful number, since it uses less digits than its factorization.

90326691000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 90326691000 in words is "ninety billion, three hundred twenty-six million, six hundred ninety-one thousand".