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91319893344 = 25331719337971
BaseRepresentation
bin101010100001100010…
…1101111110101100000
322201201020111020102000
41111003011233311200
52444010343041334
6105541330124000
76411664200051
oct1250305576540
9281636436360
1091319893344
1135801776539
1215846a20600
1387c4403c64
1445c431a728
15259719b299
hex154316fd60

91319893344 has 384 divisors, whose sum is σ = 298047859200. Its totient is φ = 27033108480.

The previous prime is 91319893283. The next prime is 91319893367. The reversal of 91319893344 is 44339891319.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94046779 + ... + 94047749.

It is an arithmetic number, because the mean of its divisors is an integer number (776166300).

Almost surely, 291319893344 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 91319893344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149023929600).

91319893344 is an abundant number, since it is smaller than the sum of its proper divisors (206727965856).

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

91319893344 is a wasteful number, since it uses less digits than its factorization.

91319893344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1349 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The spelling of 91319893344 in words is "ninety-one billion, three hundred nineteen million, eight hundred ninety-three thousand, three hundred forty-four".