Search a number
-
+
10014708480 = 283571919609
BaseRepresentation
bin10010101001110110…
…00101001100000000
3221211221102220100220
421110323011030000
5131002231132410
64333425543040
7503113421550
oct112473051400
927757386326
1010014708480
11427a050787
121b35aa4a80
13c37a6a20a
146b00b1160
153d9316070
hex254ec5300

10014708480 has 288 divisors, whose sum is σ = 38479526400. Its totient is φ = 2168487936.

The previous prime is 10014708479. The next prime is 10014708493. The reversal of 10014708480 is 8480741001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500916 + ... + 520524.

Almost surely, 210014708480 is an apocalyptic number.

10014708480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10014708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19239763200).

10014708480 is an abundant number, since it is smaller than the sum of its proper divisors (28464817920).

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

10014708480 is a wasteful number, since it uses less digits than its factorization.

10014708480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19659 (or 19645 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The spelling of 10014708480 in words is "ten billion, fourteen million, seven hundred eight thousand, four hundred eighty".