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90721419264 = 21632724373
BaseRepresentation
bin101010001111101101…
…0110000000000000000
322200011112100121022100
41110133122300000000
52441244140404024
6105402110510400
76361106224500
oct1243732600000
9280145317270
1090721419264
1135524970063
12156ba505400
13872a420a98
144568a4da00
15255e8807c9
hex151f6b0000

90721419264 has 612 divisors, whose sum is σ = 316234477416. Its totient is φ = 24970788864.

The previous prime is 90721419233. The next prime is 90721419277. The reversal of 90721419264 is 46291412709.

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 35 ways as a sum of consecutive naturals, for example, 1242759132 + ... + 1242759204.

Almost surely, 290721419264 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 90721419264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158117238708).

90721419264 is an abundant number, since it is smaller than the sum of its proper divisors (225513058152).

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

90721419264 is an equidigital number, since it uses as much as digits as its factorization.

90721419264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 90721419264 in words is "ninety billion, seven hundred twenty-one million, four hundred nineteen thousand, two hundred sixty-four".