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10968956496 = 2434231512437
BaseRepresentation
bin10100011011100110…
…01111111001010000
31001022110000201120000
422031303033321100
5134431023101441
65012234450000
7535551410001
oct121563177120
931273021500
1010968956496
114719765403
122161593900
13105a678704
14760b0d1a8
15442eab2b6
hex28dccfe50

10968956496 has 200 divisors, whose sum is σ = 33360733824. Its totient is φ = 3472761600.

The previous prime is 10968956489. The next prime is 10968956497. The reversal of 10968956496 is 69465986901.

10968956496 is a `hidden beast` number, since 1 + 0 + 9 + 68 + 9 + 564 + 9 + 6 = 666.

It is a super-2 number, since 2×109689564962 (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 (10968956497) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4499790 + ... + 4502226.

Almost surely, 210968956496 is an apocalyptic number.

10968956496 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 10968956496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16680366912).

10968956496 is an abundant number, since it is smaller than the sum of its proper divisors (22391777328).

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

10968956496 is a wasteful number, since it uses less digits than its factorization.

10968956496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2631 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 10968956496 in words is "ten billion, nine hundred sixty-eight million, nine hundred fifty-six thousand, four hundred ninety-six".