Search a number
-
+
91055137824 = 2534716093119
BaseRepresentation
bin101010011001101001…
…1110010010000100000
322201000210022021010000
41110303103302100200
52442440103402244
6105455151340000
76402300621060
oct1246323622040
9281023267100
1091055137824
1135686284822
1215792221600
1387815c62a1
14459b0bd3a0
15257dd00169
hex15334f2420

91055137824 has 240 divisors, whose sum is σ = 306334828800. Its totient is φ = 25991248896.

The previous prime is 91055137813. The next prime is 91055137837. The reversal of 91055137824 is 42873155019.

91055137824 is a `hidden beast` number, since 9 + 1 + 0 + 551 + 3 + 78 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 91055137824.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29192137 + ... + 29195255.

It is an arithmetic number, because the mean of its divisors is an integer number (1276395120).

Almost surely, 291055137824 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 91055137824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153167414400).

91055137824 is an abundant number, since it is smaller than the sum of its proper divisors (215279690976).

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

91055137824 is a wasteful number, since it uses less digits than its factorization.

91055137824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4757 (or 4740 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 91055137824 in words is "ninety-one billion, fifty-five million, one hundred thirty-seven thousand, eight hundred twenty-four".