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296053392240 = 243251637513359
BaseRepresentation
bin1000100111011100010…
…10000100001101110000
31001022011110200120200100
410103232022010031300
514322304132022430
6344001031352400
730250323212304
oct4235612041560
91038143616610
10296053392240
111046124704a1
1249463822700
1321bc12b2648
1410486d29d04
157a7ae83960
hex44ee284370

296053392240 has 240 divisors, whose sum is σ = 1001975869440. Its totient is φ = 78335424000.

The previous prime is 296053392199. The next prime is 296053392251. The reversal of 296053392240 is 42293350692.

296053392240 is a `hidden beast` number, since 2 + 9 + 6 + 0 + 533 + 92 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2960533922402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 88135681 + ... + 88139039.

It is an arithmetic number, because the mean of its divisors is an integer number (4174899456).

Almost surely, 2296053392240 is an apocalyptic number.

296053392240 is a gapful number since it is divisible by the number (20) 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 296053392240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500987934720).

296053392240 is an abundant number, since it is smaller than the sum of its proper divisors (705922477200).

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

296053392240 is a wasteful number, since it uses less digits than its factorization.

296053392240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4292 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 296053392240 in words is "two hundred ninety-six billion, fifty-three million, three hundred ninety-two thousand, two hundred forty".