Search a number
-
+
91268997120 = 2133257113313
BaseRepresentation
bin101010100000000001…
…1100110000000000000
322201120200201102220200
41111000003212000000
52443404330401440
6105532311205200
76410505450420
oct1250003460000
9281520642820
1091268997120
1135785a73444
1215831976800
1387b69c3952
1445bb66c480
152592995c30
hex15400e6000

91268997120 has 672 divisors, whose sum is σ = 365942221632. Its totient is φ = 20610809856.

The previous prime is 91268997101. The next prime is 91268997181. The reversal of 91268997120 is 2179986219.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 291594084 + ... + 291594396.

Almost surely, 291268997120 is an apocalyptic number.

91268997120 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 91268997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182971110816).

91268997120 is an abundant number, since it is smaller than the sum of its proper divisors (274673224512).

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

91268997120 is a wasteful number, since it uses less digits than its factorization.

91268997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 91268997120 in words is "ninety-one billion, two hundred sixty-eight million, nine hundred ninety-seven thousand, one hundred twenty".