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10698068864 = 277219107839
BaseRepresentation
bin10011111011010011…
…11001001110000000
31000121120022012120202
421331221321032000
5133402201200424
64525320424332
7526052041100
oct117551711600
930546265522
1010698068864
11459a86552a
1220a69180a8
131016501882
14736b57200
154292ed2ae
hex27da79380

10698068864 has 192 divisors, whose sum is σ = 26372304000. Its totient is φ = 4297853952.

The previous prime is 10698068851. The next prime is 10698068881. The reversal of 10698068864 is 46886089601.

10698068864 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 2×106980688642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12750557 + ... + 12751395.

It is an arithmetic number, because the mean of its divisors is an integer number (137355750).

Almost surely, 210698068864 is an apocalyptic number.

10698068864 is a gapful number since it is divisible by the number (14) 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 10698068864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13186152000).

10698068864 is an abundant number, since it is smaller than the sum of its proper divisors (15674235136).

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

10698068864 is a wasteful number, since it uses less digits than its factorization.

10698068864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 56.

The spelling of 10698068864 in words is "ten billion, six hundred ninety-eight million, sixty-eight thousand, eight hundred sixty-four".