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10927097139456 = 283217240512
BaseRepresentation
bin1001111100000010100110…
…1111100101000100000000
31102200121202012001122101100
42133000221233211010000
52413012143331430311
635123501130134400
72205312440120361
oct237005157450400
942617665048340
1010927097139456
113533179514843
1212858b2881400
13613561776954
1429ac35201b68
1513e38b2e1a56
hex9f029be5100

10927097139456 has 243 divisors, whose sum is σ = 33476059742853. Its totient is φ = 3427262668800.

The previous prime is 10927097139437. The next prime is 10927097139463. The reversal of 10927097139456 is 65493179072901.

The square root of 10927097139456 is 3305616.

It is a perfect power (a square), and thus also a powerful number.

10927097139456 is a `hidden beast` number, since 1 + 0 + 92 + 7 + 0 + 97 + 1 + 3 + 9 + 456 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8507255558400 + 2419841581056 = 2916720^2 + 1555584^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10927097139393 and 10927097139402.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2697380631 + ... + 2697384681.

Almost surely, 210927097139456 is an apocalyptic number.

10927097139456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10927097139456 is the 3305616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10927097139456

10927097139456 is an abundant number, since it is smaller than the sum of its proper divisors (22548962603397).

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

10927097139456 is an frugal number, since it uses more digits than its factorization.

10927097139456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8158 (or 4073 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 10927097139456 in words is "ten trillion, nine hundred twenty-seven billion, ninety-seven million, one hundred thirty-nine thousand, four hundred fifty-six".