Search a number
-
+
12918082320 = 243251113373391
BaseRepresentation
bin11000000011111101…
…00100101100010000
31020100021122120112100
430001332210230100
5202424012113240
65533503200400
7635056613403
oct140176445420
936307576470
1012918082320
115529a144a0
1226062a6100
1312ab41c7c0
148a7923d3a
1550916ee30
hex301fa4b10

12918082320 has 480 divisors, whose sum is σ = 52360648704. Its totient is φ = 2811801600.

The previous prime is 12918082279. The next prime is 12918082327. The reversal of 12918082320 is 2328081921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12918082327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3807825 + ... + 3811215.

Almost surely, 212918082320 is an apocalyptic number.

12918082320 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 12918082320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26180324352).

12918082320 is an abundant number, since it is smaller than the sum of its proper divisors (39442566384).

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

12918082320 is a wasteful number, since it uses less digits than its factorization.

12918082320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3471 (or 3462 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 12918082320 in words is "twelve billion, nine hundred eighteen million, eighty-two thousand, three hundred twenty".