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91457482320 = 2436513111971
BaseRepresentation
bin101010100101101001…
…0100110111001010000
322202001211101111000000
41111023102212321100
52444301103413240
6110003123130000
76415254526101
oct1251322467120
9282054344000
1091457482320
1135872401136
1215884b13900
138816a78a59
1445d86d43a8
1525a42c8430
hex154b4a6e50

91457482320 has 280 divisors, whose sum is σ = 321272642592. Its totient is φ = 24200467200.

The previous prime is 91457482307. The next prime is 91457482393. The reversal of 91457482320 is 2328475419.

91457482320 is a `hidden beast` number, since 9 + 145 + 7 + 482 + 3 + 20 = 666.

It is a super-2 number, since 2×914574823202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 55 ways as a sum of consecutive naturals, for example, 7633935 + ... + 7645905.

Almost surely, 291457482320 is an apocalyptic number.

91457482320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91457482320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160636321296).

91457482320 is an abundant number, since it is smaller than the sum of its proper divisors (229815160272).

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

91457482320 is a wasteful number, since it uses less digits than its factorization.

91457482320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12133 (or 12112 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 91457482320 in words is "ninety-one billion, four hundred fifty-seven million, four hundred eighty-two thousand, three hundred twenty".