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90263472000 = 27353131767127
BaseRepresentation
bin101010000010000011…
…1110100011110000000
322121222121122110202120
41110010013310132000
52434324422101000
6105244431244240
76343545565332
oct1240407643600
9277877573676
1090263472000
113530a416549
12155b1079680
1386865a0980
144523cc3452
1525345726a0
hex15041f4780

90263472000 has 1024 divisors, whose sum is σ = 349015080960. Its totient is φ = 20437401600.

The previous prime is 90263471971. The next prime is 90263472001. The reversal of 90263472000 is 27436209.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90263472001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 710735937 + ... + 710736063.

It is an arithmetic number, because the mean of its divisors is an integer number (340835040).

Almost surely, 290263472000 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 90263472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174507540480).

90263472000 is an abundant number, since it is smaller than the sum of its proper divisors (258751608960).

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

90263472000 is a wasteful number, since it uses less digits than its factorization.

90263472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 90263472000 in words is "ninety billion, two hundred sixty-three million, four hundred seventy-two thousand".