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1056474846720 = 29325191240073
BaseRepresentation
bin11110101111110101100…
…11101101011000000000
310201222221112210220000200
433113322303231120000
5114302130030043340
62125200550245200
7136220301012636
oct17277263553000
93658845726020
101056474846720
11378059566137
12150903356800
13788185c04c7
14391c2a71356
151c73478e330
hexf5faced600

1056474846720 has 240 divisors, whose sum is σ = 3678041233152. Its totient is φ = 280250449920.

The previous prime is 1056474846709. The next prime is 1056474846731. The reversal of 1056474846720 is 276484746501.

1056474846720 is a `hidden beast` number, since 1 + 0 + 56 + 47 + 484 + 6 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1056474846709) and next prime (1056474846731).

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

It is a super-2 number, since 2×10564748467202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4280604 + ... + 4520676.

Almost surely, 21056474846720 is an apocalyptic number.

1056474846720 is a gapful number since it is divisible by the number (10) 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 1056474846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839020616576).

1056474846720 is an abundant number, since it is smaller than the sum of its proper divisors (2621566386432).

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

1056474846720 is a wasteful number, since it uses less digits than its factorization.

1056474846720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240293 (or 240274 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 1056474846720 in words is "one trillion, fifty-six billion, four hundred seventy-four million, eight hundred forty-six thousand, seven hundred twenty".