Search a number
-
+
12463152780 = 223513611631607
BaseRepresentation
bin10111001101101110…
…01001111010001100
31012011120121202112010
423212313021322030
5201011031342110
65420412341220
7620564023251
oct134667117214
935146552463
1012463152780
115316141171
1224b9a74810
1312380b8120
14863341428
154ce25b020
hex2e6dc9e8c

12463152780 has 192 divisors, whose sum is σ = 38455538688. Its totient is φ = 2997181440.

The previous prime is 12463152763. The next prime is 12463152799. The reversal of 12463152780 is 8725136421.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7754737 + ... + 7756343.

It is an arithmetic number, because the mean of its divisors is an integer number (200289264).

Almost surely, 212463152780 is an apocalyptic number.

12463152780 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 12463152780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19227769344).

12463152780 is an abundant number, since it is smaller than the sum of its proper divisors (25992385908).

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

12463152780 is a wasteful number, since it uses less digits than its factorization.

12463152780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 12463152780 in words is "twelve billion, four hundred sixty-three million, one hundred fifty-two thousand, seven hundred eighty".