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90469373280 = 2535111317314161
BaseRepresentation
bin101010001000001100…
…1010001010101100000
322122111222002100012220
41110100121101111200
52440240124421110
6105321104351040
76351625661526
oct1242031212540
9278458070186
1090469373280
113540566a1a0
121564a015480
1386ba143050
1445433a0316
152547695370
hex1510651560

90469373280 has 1536 divisors, whose sum is σ = 380999614464. Its totient is φ = 17694720000.

The previous prime is 90469373279. The next prime is 90469373353. The reversal of 90469373280 is 8237396409.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 255 ways as a sum of consecutive naturals, for example, 1483104450 + ... + 1483104510.

It is an arithmetic number, because the mean of its divisors is an integer number (248046624).

Almost surely, 290469373280 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 90469373280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190499807232).

90469373280 is an abundant number, since it is smaller than the sum of its proper divisors (290530241184).

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

90469373280 is a wasteful number, since it uses less digits than its factorization.

90469373280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 90469373280 in words is "ninety billion, four hundred sixty-nine million, three hundred seventy-three thousand, two hundred eighty".