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90371478384 = 24351143157313
BaseRepresentation
bin101010000101010001…
…1110101001101110000
322122021010212202200000
41110022203311031300
52440040044302014
6105303250230000
76346326614625
oct1241243651560
9278233782600
1090371478384
1135365386320
1215621285300
1386a2a88785
14453439a34c
15253dca9509
hex150a8f5370

90371478384 has 480 divisors, whose sum is σ = 295585914624. Its totient is φ = 26493143040.

The previous prime is 90371478383. The next prime is 90371478391. The reversal of 90371478384 is 48387417309.

90371478384 is a `hidden beast` number, since 90 + 3 + 7 + 1 + 478 + 3 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 90371478384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90371478383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 288726612 + ... + 288726924.

Almost surely, 290371478384 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 90371478384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147792957312).

90371478384 is an abundant number, since it is smaller than the sum of its proper divisors (205214436240).

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

90371478384 is a wasteful number, since it uses less digits than its factorization.

90371478384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 90371478384 in words is "ninety billion, three hundred seventy-one million, four hundred seventy-eight thousand, three hundred eighty-four".