Search a number
-
+
12302288544 = 2537131782837
BaseRepresentation
bin10110111010100011…
…00000011010100000
31011202100221000021110
423131101200122200
5200143341213134
65352424423320
7613601504310
oct133521403240
934670830243
1012302288544
115243359517
122474017b40
1312109841a0
14849c29440
154c00827e9
hex2dd4606a0

12302288544 has 192 divisors, whose sum is σ = 42084354816. Its totient is φ = 3053666304.

The previous prime is 12302288543. The next prime is 12302288623. The reversal of 12302288544 is 44588220321.

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

It is not an unprimeable number, because it can be changed into a prime (12302288543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107094 + ... + 189930.

It is an arithmetic number, because the mean of its divisors is an integer number (219189348).

Almost surely, 212302288544 is an apocalyptic number.

12302288544 is a gapful number since it is divisible by the number (14) 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 12302288544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21042177408).

12302288544 is an abundant number, since it is smaller than the sum of its proper divisors (29782066272).

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

12302288544 is a wasteful number, since it uses less digits than its factorization.

12302288544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82887 (or 82879 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 12302288544 in words is "twelve billion, three hundred two million, two hundred eighty-eight thousand, five hundred forty-four".