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10327897984 = 27100979967
BaseRepresentation
bin10011001111001011…
…10011011110000000
3222122202202120121011
421213211303132000
5132122420213414
64424454410304
7513635453515
oct114745633600
928582676534
1010327897984
11441a913688
122002960994
13c87905551
146dd91930c
15406a7cdc4
hex267973780

10327897984 has 32 divisors (see below), whose sum is σ = 20595758400. Its totient is φ = 5158766592.

The previous prime is 10327897981. The next prime is 10327897999. The reversal of 10327897984 is 48979872301.

10327897984 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 2×103278979842 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10327897981) 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 3 ways as a sum of consecutive naturals, for example, 89169 + ... + 169135.

It is an arithmetic number, because the mean of its divisors is an integer number (643617450).

Almost surely, 210327897984 is an apocalyptic number.

It is an amenable number.

10327897984 is a deficient number, since it is larger than the sum of its proper divisors (10267860416).

10327897984 is an equidigital number, since it uses as much as digits as its factorization.

10327897984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80990 (or 80978 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 58.

The spelling of 10327897984 in words is "ten billion, three hundred twenty-seven million, eight hundred ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 1009 2018 4036 8072 16144 32288 64576 79967 129152 159934 319868 639736 1279472 2558944 5117888 10235776 80686703 161373406 322746812 645493624 1290987248 2581974496 5163948992 10327897984