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296994138480 = 2432513173160209
BaseRepresentation
bin1000101001001100011…
…10101110100101110000
31001101121000212102220200
410110212032232211300
514331220444412410
6344234235035200
730312535344564
oct4244616564560
91041530772820
10296994138480
11104a554a3026
124968689bb00
1322011174420
1410535c516a4
157ad385d3c0
hex45263ae970

296994138480 has 480 divisors, whose sum is σ = 1174019857920. Its totient is φ = 66585231360.

The previous prime is 296994138479. The next prime is 296994138491. The reversal of 296994138480 is 84831499692.

296994138480 is a `hidden beast` number, since 2 + 9 + 69 + 9 + 413 + 84 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4902616 + ... + 4962824.

It is an arithmetic number, because the mean of its divisors is an integer number (2445874704).

Almost surely, 2296994138480 is an apocalyptic number.

296994138480 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 296994138480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587009928960).

296994138480 is an abundant number, since it is smaller than the sum of its proper divisors (877025719440).

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

296994138480 is a wasteful number, since it uses less digits than its factorization.

296994138480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60289 (or 60280 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 296994138480 in words is "two hundred ninety-six billion, nine hundred ninety-four million, one hundred thirty-eight thousand, four hundred eighty".