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10926197568 = 26351113173
BaseRepresentation
bin10100010110100000…
…01000101101000000
31001012110120100100000
422023100020231000
5134334101310233
65004110200000
7534522101256
oct121320105500
931173510300
1010926197568
1146a760aa50
12214b1b3000
131051857180
1475917c5d6
1543e361d13
hex28b408b40

10926197568 has 672 divisors, whose sum is σ = 40540106880. Its totient is φ = 2876497920.

The previous prime is 10926197567. The next prime is 10926197591. The reversal of 10926197568 is 86579162901.

10926197568 is a `hidden beast` number, since 10 + 9 + 2 + 61 + 9 + 7 + 568 = 666.

It is a super-2 number, since 2×109261975682 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10926197567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 642717496 + ... + 642717512.

It is an arithmetic number, because the mean of its divisors is an integer number (60327540).

Almost surely, 210926197568 is an apocalyptic number.

10926197568 is a gapful number since it is divisible by the number (18) 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 10926197568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20270053440).

10926197568 is an abundant number, since it is smaller than the sum of its proper divisors (29613909312).

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

10926197568 is an equidigital number, since it uses as much as digits as its factorization.

10926197568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 10926197568 in words is "ten billion, nine hundred twenty-six million, one hundred ninety-seven thousand, five hundred sixty-eight".