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1056747345984 = 263311311793383
BaseRepresentation
bin11110110000010110000…
…11001101100001000000
310202000122112120021202000
433120023003031201000
5114303204310032414
62125244003024000
7136230120143301
oct17301303154100
93660575507660
101056747345984
11378189366940
1215097a66b000
137885cbaca85
143920ad267a8
151c74d669b09
hexf60b0cd840

1056747345984 has 224 divisors, whose sum is σ = 3498390036480. Its totient is φ = 309896409600.

The previous prime is 1056747345943. The next prime is 1056747345991. The reversal of 1056747345984 is 4895437476501.

1056747345984 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 7 + 4 + 7 + 34 + 598 + 4 = 666.

It is a super-2 number, since 2×10567473459842 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307444 + ... + 1485939.

Almost surely, 21056747345984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056747345984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749195018240).

1056747345984 is an abundant number, since it is smaller than the sum of its proper divisors (2441642690496).

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

1056747345984 is a wasteful number, since it uses less digits than its factorization.

1056747345984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793446 (or 1793430 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 1056747345984 in words is "one trillion, fifty-six billion, seven hundred forty-seven million, three hundred forty-five thousand, nine hundred eighty-four".