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10386671337 = 33773752821
BaseRepresentation
bin10011010110001100…
…00000011011101001
3222210212100120111000
421223012000123221
5132232441440322
64434354225213
7515251151430
oct115306003351
928725316430
1010386671337
1144500069a9
12201a585209
13c96b43093
14707658117
1540bcdc3ac
hex26b1806e9

10386671337 has 32 divisors (see below), whose sum is σ = 17826824960. Its totient is φ = 5853928320.

The previous prime is 10386671333. The next prime is 10386671359. The reversal of 10386671337 is 73317668301.

It is a happy number.

10386671337 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10386671337 - 22 = 10386671333 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10386671292 and 10386671301.

It is not an unprimeable number, because it can be changed into a prime (10386671333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362614 + ... + 390207.

It is an arithmetic number, because the mean of its divisors is an integer number (557088280).

Almost surely, 210386671337 is an apocalyptic number.

It is an amenable number.

10386671337 is a deficient number, since it is larger than the sum of its proper divisors (7440153623).

10386671337 is an equidigital number, since it uses as much as digits as its factorization.

10386671337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752910 (or 752904 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 10386671337 in words is "ten billion, three hundred eighty-six million, six hundred seventy-one thousand, three hundred thirty-seven".

Divisors: 1 3 7 9 21 27 63 73 189 219 511 657 1533 1971 4599 13797 752821 2258463 5269747 6775389 15809241 20326167 47427723 54955933 142283169 164867799 384691531 494603397 1154074593 1483810191 3462223779 10386671337