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10683405696 = 27327821369
BaseRepresentation
bin10011111001100011…
…11101010110000000
31000120112201020111110
421330301331112000
5133334422440241
64524034243320
7525513310245
oct117461752600
930515636443
1010683405696
11459255a907
1220a1a26540
131013469642
14734c1b5cc
15427da3816
hex27cc7d580

10683405696 has 32 divisors (see below), whose sum is σ = 28377797400. Its totient is φ = 3561135104.

The previous prime is 10683405683. The next prime is 10683405703. The reversal of 10683405696 is 69650438601.

10683405696 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 (32).

It is a super-2 number, since 2×106834056962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 3 ways as a sum of consecutive naturals, for example, 13910301 + ... + 13911068.

Almost surely, 210683405696 is an apocalyptic number.

10683405696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10683405696 is an abundant number, since it is smaller than the sum of its proper divisors (17694391704).

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

10683405696 is an equidigital number, since it uses as much as digits as its factorization.

10683405696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27821386 (or 27821374 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 10683405696 in words is "ten billion, six hundred eighty-three million, four hundred five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 27821369 55642738 83464107 111285476 166928214 222570952 333856428 445141904 667712856 890283808 1335425712 1780567616 2670851424 3561135232 5341702848 10683405696