Search a number
-
+
10842096431 = 232659177283
BaseRepresentation
bin10100001100011110…
…10100001100101111
31000222121022120021002
422012033110030233
5134201034041211
64551503430515
7532451204405
oct120617241457
930877276232
1010842096431
114664098581
122126bb543b
13103a2bc19a
1474bd29475
15436c9d03b
hex2863d432f

10842096431 has 8 divisors (see below), whose sum is σ = 11317810560. Its totient is φ = 10366742232.

The previous prime is 10842096403. The next prime is 10842096439. The reversal of 10842096431 is 13469024801.

10842096431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10842096431 - 26 = 10842096367 is a prime.

It is a super-2 number, since 2×108420964312 (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 (10842096439) 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 7 ways as a sum of consecutive naturals, for example, 27485 + ... + 149798.

It is an arithmetic number, because the mean of its divisors is an integer number (1414726320).

Almost surely, 210842096431 is an apocalyptic number.

10842096431 is a deficient number, since it is larger than the sum of its proper divisors (475714129).

10842096431 is a wasteful number, since it uses less digits than its factorization.

10842096431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179965.

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 10842096431 in words is "ten billion, eight hundred forty-two million, ninety-six thousand, four hundred thirty-one".

Divisors: 1 23 2659 61157 177283 4077509 471395497 10842096431