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296672248080 = 2433513291392621
BaseRepresentation
bin1000101000100110000…
…10110100000100010000
31001100202121011201022000
410110103002310010100
514330041043414310
6344142255514000
730301546333605
oct4242302640420
91040677151260
10296672248080
111048aa827aaa
12495b6b28900
1321c8c580930
14105051c06ac
157ab54784c0
hex45130b4110

296672248080 has 640 divisors, whose sum is σ = 1147051584000. Its totient is φ = 69974876160.

The previous prime is 296672248007. The next prime is 296672248099. The reversal of 296672248080 is 80842276692.

296672248080 is a `hidden beast` number, since 2 + 9 + 6 + 67 + 22 + 480 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 113189170 + ... + 113191790.

It is an arithmetic number, because the mean of its divisors is an integer number (1792268100).

Almost surely, 2296672248080 is an apocalyptic number.

296672248080 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 296672248080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573525792000).

296672248080 is an abundant number, since it is smaller than the sum of its proper divisors (850379335920).

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

296672248080 is a wasteful number, since it uses less digits than its factorization.

296672248080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 296672248080 in words is "two hundred ninety-six billion, six hundred seventy-two million, two hundred forty-eight thousand, eighty".