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11297707344 = 243272111947163
BaseRepresentation
bin10101000010110010…
…10101010101010000
31002011100121222221100
422201121111111100
5141114203113334
65105021024400
7546652633200
oct124131252520
932140558840
1011297707344
114878296820
1222336b5100
1310b0801a41
14792648400
15461c98c99
hex2a1655550

11297707344 has 720 divisors, whose sum is σ = 43398650880. Its totient is φ = 2704181760.

The previous prime is 11297707327. The next prime is 11297707349. The reversal of 11297707344 is 44370779211.

11297707344 is a `hidden beast` number, since 11 + 297 + 7 + 0 + 7 + 344 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11297707344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11297707349) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 69311007 + ... + 69311169.

It is an arithmetic number, because the mean of its divisors is an integer number (60275904).

Almost surely, 211297707344 is an apocalyptic number.

11297707344 is a gapful number since it is divisible by the number (14) 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 11297707344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21699325440).

11297707344 is an abundant number, since it is smaller than the sum of its proper divisors (32100943536).

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

11297707344 is a wasteful number, since it uses less digits than its factorization.

11297707344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 11297707344 in words is "eleven billion, two hundred ninety-seven million, seven hundred seven thousand, three hundred forty-four".