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9080292864 = 2937974831
BaseRepresentation
bin10000111010011101…
…00100011000000000
3212102211011200010010
420131032210120000
5122044023332424
64101010104520
7441006134016
oct103516443000
925384150103
109080292864
11393a652475
121914b7b140
13b192b3a76
14621d568b6
1538228c229
hex21d3a4600

9080292864 has 80 divisors (see below), whose sum is σ = 24497003520. Its totient is φ = 2988410880.

The previous prime is 9080292839. The next prime is 9080292883. The reversal of 9080292864 is 4682920809.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83929 + ... + 158759.

It is an arithmetic number, because the mean of its divisors is an integer number (306212544).

Almost surely, 29080292864 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 9080292864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12248501760).

9080292864 is an abundant number, since it is smaller than the sum of its proper divisors (15416710656).

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

9080292864 is an equidigital number, since it uses as much as digits as its factorization.

9080292864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74931 (or 74915 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 9080292864 is about 95290.5706982595. The cubic root of 9080292864 is about 2086.2512919843.

The spelling of 9080292864 in words is "nine billion, eighty million, two hundred ninety-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 384 474 512 632 768 948 1264 1536 1896 2528 3792 5056 7584 10112 15168 20224 30336 40448 60672 74831 121344 149662 224493 299324 448986 598648 897972 1197296 1795944 2394592 3591888 4789184 5911649 7183776 9578368 11823298 14367552 17734947 19156736 23646596 28735104 35469894 38313472 47293192 57470208 70939788 94586384 114940416 141879576 189172768 283759152 378345536 567518304 756691072 1135036608 1513382144 2270073216 3026764288 4540146432 9080292864