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10186838401 = 34729356883
BaseRepresentation
bin10010111110010111…
…01101000110000001
3222021221100000020011
421133023231012001
5131330312312101
64402455144521
7510303461215
oct113713550601
928257300204
1010186838401
114358228513
121b83675141
13c64616b3c
146c8cba945
153e94b7751
hex25f2ed181

10186838401 has 4 divisors (see below), whose sum is σ = 10216195632. Its totient is φ = 10157481172.

The previous prime is 10186838377. The next prime is 10186838443. The reversal of 10186838401 is 10483868101.

10186838401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10186838401 - 213 = 10186830209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10186838491) 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, 14678095 + ... + 14678788.

It is an arithmetic number, because the mean of its divisors is an integer number (2554048908).

Almost surely, 210186838401 is an apocalyptic number.

It is an amenable number.

10186838401 is a deficient number, since it is larger than the sum of its proper divisors (29357231).

10186838401 is an equidigital number, since it uses as much as digits as its factorization.

10186838401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29357230.

The product of its (nonzero) digits is 36864, while the sum is 40.

The spelling of 10186838401 in words is "ten billion, one hundred eighty-six million, eight hundred thirty-eight thousand, four hundred one".

Divisors: 1 347 29356883 10186838401