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91023243264 = 21136411487
BaseRepresentation
bin101010011000101101…
…0000111100000000000
322200221120021212000000
41110301122013200000
52442403422241024
6105452052000000
76401432542032
oct1246132074000
9280846255000
1091023243264
113566a27a988
1215783600000
138777b09b75
144596b79c52
15257b0eecc9
hex1531687800

91023243264 has 336 divisors, whose sum is σ = 279721784160. Its totient is φ = 29581148160.

The previous prime is 91023243263. The next prime is 91023243271. The reversal of 91023243264 is 46234232019.

91023243264 is a `hidden beast` number, since 9 + 1 + 0 + 2 + 324 + 326 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91023243263) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 61211929 + ... + 61213415.

It is an arithmetic number, because the mean of its divisors is an integer number (832505310).

Almost surely, 291023243264 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 91023243264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139860892080).

91023243264 is an abundant number, since it is smaller than the sum of its proper divisors (188698540896).

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

91023243264 is an equidigital number, since it uses as much as digits as its factorization.

91023243264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 91023243264 in words is "ninety-one billion, twenty-three million, two hundred forty-three thousand, two hundred sixty-four".