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10696896000 = 29325372379
BaseRepresentation
bin10011111011001010…
…11010111000000000
31000121111002121201100
421331211122320000
5133401401133000
64525235334400
7526036054500
oct117545327000
930544077640
1010696896000
11459a13431a
1220a6451400
1310161b0a7b
1473692da00
1542916aa00
hex27d95ae00

10696896000 has 720 divisors, whose sum is σ = 44936789040. Its totient is φ = 2438553600.

The previous prime is 10696895971. The next prime is 10696896017. The reversal of 10696896000 is 69869601.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×106968960002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28223811 + ... + 28224189.

It is an arithmetic number, because the mean of its divisors is an integer number (62412207).

Almost surely, 210696896000 is an apocalyptic number.

10696896000 is a gapful number since it is divisible by the number (10) 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 10696896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22468394520).

10696896000 is an abundant number, since it is smaller than the sum of its proper divisors (34239893040).

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

10696896000 is an equidigital number, since it uses as much as digits as its factorization.

10696896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 10696896000 in words is "ten billion, six hundred ninety-six million, eight hundred ninety-six thousand".