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10690600320 = 27355531297
BaseRepresentation
bin10011111010011010…
…11001110110000000
31000121001020202200000
421331031121312000
5133343243202240
64524452400000
7525631413651
oct117515316600
930531222600
1010690600320
114596624284
1220a4316000
131014ab830a
14735b71528
15428825430
hex27d359d80

10690600320 has 384 divisors, whose sum is σ = 39035636640. Its totient is φ = 2794881024.

The previous prime is 10690600303. The next prime is 10690600343. The reversal of 10690600320 is 2300609601.

It is a happy number.

10690600320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×106906003202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 8241912 + ... + 8243208.

Almost surely, 210690600320 is an apocalyptic number.

10690600320 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 10690600320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19517818320).

10690600320 is an abundant number, since it is smaller than the sum of its proper divisors (28345036320).

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

10690600320 is an equidigital number, since it uses as much as digits as its factorization.

10690600320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 10690600320 in words is "ten billion, six hundred ninety million, six hundred thousand, three hundred twenty".