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91479004344 = 23357213312383
BaseRepresentation
bin101010100110010010…
…0101101010010111000
322202010022212220200000
41111030210231102320
52444322111114334
6110005212313000
76415635464400
oct1251444552270
9282108786600
1091479004344
1135883570a32
1215890172760
13881b372b90
1445db4d7800
1525a612a299
hex154c92d4b8

91479004344 has 576 divisors, whose sum is σ = 332392919040. Its totient is φ = 23338264320.

The previous prime is 91479004339. The next prime is 91479004361. The reversal of 91479004344 is 44340097419.

91479004344 is a `hidden beast` number, since 91 + 47 + 90 + 0 + 434 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 91479004344.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 38386977 + ... + 38389359.

It is an arithmetic number, because the mean of its divisors is an integer number (577071040).

Almost surely, 291479004344 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 91479004344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166196459520).

91479004344 is an abundant number, since it is smaller than the sum of its proper divisors (240913914696).

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

91479004344 is a wasteful number, since it uses less digits than its factorization.

91479004344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 91479004344 in words is "ninety-one billion, four hundred seventy-nine million, four thousand, three hundred forty-four".