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10694779056 = 2433134367661
BaseRepresentation
bin10011111010111010…
…10110000010110000
31000121100010001211000
421331131112002300
5133400330412211
64525122122000
7526012056603
oct117535260260
930540101730
1010694779056
114598a18885
1220a57b0300
13101591c340
1473653c33a
15428d9d656
hex27d7560b0

10694779056 has 320 divisors, whose sum is σ = 34385021440. Its totient is φ = 3161410560.

The previous prime is 10694779009. The next prime is 10694779057. The reversal of 10694779056 is 65097749601.

10694779056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106947790562 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 10694778993 and 10694779011.

It is not an unprimeable number, because it can be changed into a prime (10694779057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16179366 + ... + 16180026.

It is an arithmetic number, because the mean of its divisors is an integer number (107453192).

Almost surely, 210694779056 is an apocalyptic number.

10694779056 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 10694779056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17192510720).

10694779056 is an abundant number, since it is smaller than the sum of its proper divisors (23690242384).

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

10694779056 is a wasteful number, since it uses less digits than its factorization.

10694779056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 10694779056 in words is "ten billion, six hundred ninety-four million, seven hundred seventy-nine thousand, fifty-six".