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10593408096 = 2537229661
BaseRepresentation
bin10011101110110101…
…01001010001100000
31000100021100220000000
421313122221101200
5133143403024341
64511101300000
7523341324465
oct116732512140
930307326000
1010593408096
114546780327
122077864600
13cca91881b
14726cb166c
154200278b6
hex2776a9460

10593408096 has 192 divisors, whose sum is σ = 31463006400. Its totient is φ = 3510397440.

The previous prime is 10593408079. The next prime is 10593408097. The reversal of 10593408096 is 69080439501.

It is a happy number.

10593408096 is a `hidden beast` number, since 10 + 593 + 40 + 8 + 0 + 9 + 6 = 666.

It is a super-2 number, since 2×105934080962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10593408097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16026006 + ... + 16026666.

It is an arithmetic number, because the mean of its divisors is an integer number (163869825).

Almost surely, 210593408096 is an apocalyptic number.

10593408096 is a gapful number since it is divisible by the number (16) 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 10593408096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15731503200).

10593408096 is an abundant number, since it is smaller than the sum of its proper divisors (20869598304).

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

10593408096 is an frugal number, since it uses more digits than its factorization.

10593408096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 10593408096 in words is "ten billion, five hundred ninety-three million, four hundred eight thousand, ninety-six".