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296454427493904 = 24325928322932
BaseRepresentation
bin100001101100111111010110…
…0110101111100011000010000
31102212122202200202202102101100
41003121332230311330120100
5302324102131414301104
62530301141152304400
7116305061034436131
oct10331765465743020
91385582622672340
10296454427493904
1186506686850a79
12292baa2bb42100
13c9556c0055814
14532c68401dc88
1524416d76ac139
hex10d9facd7c610

296454427493904 has 405 divisors, whose sum is σ = 857177238881197. Its totient is φ = 95645305602816.

The previous prime is 296454427493839. The next prime is 296454427493933. The reversal of 296454427493904 is 409394724454692.

The square root of 296454427493904 is 17217852.

It is a perfect power (a square), and thus also a powerful number.

296454427493904 is a `hidden beast` number, since 2 + 9 + 6 + 4 + 5 + 4 + 42 + 7 + 493 + 90 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 280486795107600 + 15967632386304 = 16747740^2 + 3995952^2 .

It is a super-3 number, since 3×2964544274939043 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1011789854782 + ... + 1011789855074.

Almost surely, 2296454427493904 is an apocalyptic number.

296454427493904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

296454427493904 is the 17217852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 296454427493904

296454427493904 is an abundant number, since it is smaller than the sum of its proper divisors (560722811387293).

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

296454427493904 is an frugal number, since it uses more digits than its factorization.

296454427493904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 1881169920, while the sum is 72.

The spelling of 296454427493904 in words is "two hundred ninety-six trillion, four hundred fifty-four billion, four hundred twenty-seven million, four hundred ninety-three thousand, nine hundred four".