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2296817330688 = 29332414631489
BaseRepresentation
bin100001011011000100111…
…110110010101000000000
322010120111011000112012000
4201123010332302220000
5300112340214040223
64515050542304000
7324640163121216
oct41330476625000
98116434015160
102296817330688
11806090561571
1231117b588000
13138786bb18aa
147d249038cb6
153eb2b063543
hex216c4fb2a00

2296817330688 has 320 divisors, whose sum is σ = 6846289190400. Its totient is φ = 760271339520.

The previous prime is 2296817330681. The next prime is 2296817330783. The reversal of 2296817330688 is 8860337186922.

2296817330688 is a `hidden beast` number, since 2 + 29 + 68 + 173 + 306 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (2296817330681) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1542522648 + ... + 1542524136.

It is an arithmetic number, because the mean of its divisors is an integer number (21394653720).

Almost surely, 22296817330688 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 2296817330688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423144595200).

2296817330688 is an abundant number, since it is smaller than the sum of its proper divisors (4549471859712).

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

2296817330688 is a wasteful number, since it uses less digits than its factorization.

2296817330688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 2296817330688 in words is "two trillion, two hundred ninety-six billion, eight hundred seventeen million, three hundred thirty thousand, six hundred eighty-eight".