Search a number
-
+
10206413635014 = 2323591579451197
BaseRepresentation
bin1001010010000101110110…
…1010001011110111000110
31100010201112111220100120100
42110201131222023313012
52314210213342310024
633412432305344530
72102250305320542
oct224413552136706
940121474810510
1010206413635014
113285574464123
12118a0a3338146
135905cb149cac
14273dc8d32a22
1512a75b4a87c9
hex9485da8bdc6

10206413635014 has 24 divisors (see below), whose sum is σ = 22175494819920. Its totient is φ = 3392661169008.

The previous prime is 10206413634929. The next prime is 10206413635021. The reversal of 10206413635014 is 41053631460201.

10206413635014 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 6 + 4 + 1 + 3 + 635 + 0 + 14 = 666.

10206413635014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10206413635014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 789719137 + ... + 789732060.

It is an arithmetic number, because the mean of its divisors is an integer number (923978950830).

Almost surely, 210206413635014 is an apocalyptic number.

10206413635014 is an abundant number, since it is smaller than the sum of its proper divisors (11969081184906).

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

10206413635014 is a wasteful number, since it uses less digits than its factorization.

10206413635014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579451564 (or 1579451561 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10206413635014 in words is "ten trillion, two hundred six billion, four hundred thirteen million, six hundred thirty-five thousand, fourteen".

Divisors: 1 2 3 6 9 18 359 718 1077 2154 3231 6462 1579451197 3158902394 4738353591 9476707182 14215060773 28430121546 567022979723 1134045959446 1701068939169 3402137878338 5103206817507 10206413635014