Search a number
-
+
10485351510 = 235349511717
BaseRepresentation
bin10011100001111100…
…11100010001010110
31000001202001001020020
421300332130101112
5132433222222020
64452241250010
7520560005634
oct116076342126
930052031206
1010485351510
1144a0786867
122047633906
13cb1413c0a
147167c4354
154157d0c40
hex270f9c456

10485351510 has 16 divisors (see below), whose sum is σ = 25164843696. Its totient is φ = 2796093728.

The previous prime is 10485351493. The next prime is 10485351517. The reversal of 10485351510 is 1515358401.

It is a happy number.

10485351510 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10485351517) 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, 174755829 + ... + 174755888.

It is an arithmetic number, because the mean of its divisors is an integer number (1572802731).

Almost surely, 210485351510 is an apocalyptic number.

10485351510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10485351510 is an abundant number, since it is smaller than the sum of its proper divisors (14679492186).

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

10485351510 is a wasteful number, since it uses less digits than its factorization.

10485351510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349511727.

The product of its (nonzero) digits is 12000, while the sum is 33.

The spelling of 10485351510 in words is "ten billion, four hundred eighty-five million, three hundred fifty-one thousand, five hundred ten".

Divisors: 1 2 3 5 6 10 15 30 349511717 699023434 1048535151 1747558585 2097070302 3495117170 5242675755 10485351510