Search a number
-
+
12480878592 = 2113272131063
BaseRepresentation
bin10111001111110101…
…10001100000000000
31012012210222022202200
423213322301200000
5201030101103332
65422244313200
7621200501100
oct134772614000
935183868680
1012480878592
1153251488a6
1225039a2800
13123b983380
14865837200
154d0aad17c
hex2e7eb1800

12480878592 has 432 divisors, whose sum is σ = 45200347920. Its totient is φ = 3288563712.

The previous prime is 12480878581. The next prime is 12480878609. The reversal of 12480878592 is 29587808421.

12480878592 is a `hidden beast` number, since 1 + 2 + 48 + 0 + 8 + 7 + 8 + 592 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11740653 + ... + 11741715.

It is an arithmetic number, because the mean of its divisors is an integer number (104630435).

Almost surely, 212480878592 is an apocalyptic number.

12480878592 is a gapful number since it is divisible by the number (12) 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 12480878592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22600173960).

12480878592 is an abundant number, since it is smaller than the sum of its proper divisors (32719469328).

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

12480878592 is a wasteful number, since it uses less digits than its factorization.

12480878592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 12480878592 in words is "twelve billion, four hundred eighty million, eight hundred seventy-eight thousand, five hundred ninety-two".