Search a number
-
+
10506064360 = 2351123877419
BaseRepresentation
bin10011100100011010…
…11101000111101000
31000010012000100220211
421302031131013220
5133004023024420
64454301230504
7521231034151
oct116215350750
930105010824
1010506064360
114501443720
122052562434
13cb57b693c
14719456928
15417522e5a
hex27235d1e8

10506064360 has 32 divisors (see below), whose sum is σ = 25787613600. Its totient is φ = 3820386880.

The previous prime is 10506064321. The next prime is 10506064399. The reversal of 10506064360 is 6346060501.

10506064360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10506064321) and next prime (10506064399).

It is a super-2 number, since 2×105060643602 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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, 11938270 + ... + 11939149.

It is an arithmetic number, because the mean of its divisors is an integer number (805862925).

Almost surely, 210506064360 is an apocalyptic number.

10506064360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10506064360 is an abundant number, since it is smaller than the sum of its proper divisors (15281549240).

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

10506064360 is a wasteful number, since it uses less digits than its factorization.

10506064360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23877441 (or 23877437 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The spelling of 10506064360 in words is "ten billion, five hundred six million, sixty-four thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 23877419 47754838 95509676 119387095 191019352 238774190 262651609 477548380 525303218 955096760 1050606436 1313258045 2101212872 2626516090 5253032180 10506064360