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10327067569 = 721316212037
BaseRepresentation
bin10011001111000101…
…01000101110110001
3222122201012101111001
421213202220232301
5132122212130234
64424424522001
7513625424500
oct114742505661
928581171431
1010327067569
11441a3a6795
122002620301
13c876a4590
146dd780837
15406966d14
hex2678a8bb1

10327067569 has 12 divisors (see below), whose sum is σ = 12937206324. Its totient is φ = 8170866144.

The previous prime is 10327067561. The next prime is 10327067573. The reversal of 10327067569 is 96576072301.

10327067569 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2057529600 + 8269537969 = 45360^2 + 90937^2 .

It is not a de Polignac number, because 10327067569 - 23 = 10327067561 is a prime.

It is a super-2 number, since 2×103270675692 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10327067561) 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 11 ways as a sum of consecutive naturals, for example, 8105382 + ... + 8106655.

It is an arithmetic number, because the mean of its divisors is an integer number (1078100527).

Almost surely, 210327067569 is an apocalyptic number.

It is an amenable number.

10327067569 is a deficient number, since it is larger than the sum of its proper divisors (2610138755).

10327067569 is a wasteful number, since it uses less digits than its factorization.

10327067569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16212064 (or 16212057 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 46.

The spelling of 10327067569 in words is "ten billion, three hundred twenty-seven million, sixty-seven thousand, five hundred sixty-nine".

Divisors: 1 7 13 49 91 637 16212037 113484259 210756481 794389813 1475295367 10327067569