Search a number
-
+
12018445992 = 23327243227349
BaseRepresentation
bin10110011000101101…
…01110111010101000
31011000120211022111100
423030112232322220
5144103210232432
65304325001400
7603554051100
oct131426567250
934016738440
1012018445992
1151081103a3
1223b4b53260
131196c22807
14820260200
154a51b607c
hex2cc5aeea8

12018445992 has 288 divisors, whose sum is σ = 39026988000. Its totient is φ = 3329641728.

The previous prime is 12018445961. The next prime is 12018445993. The reversal of 12018445992 is 29954481021.

It is a happy number.

12018445992 is a `hidden beast` number, since 1 + 2 + 0 + 18 + 44 + 599 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (12018445993) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34436634 + ... + 34436982.

It is an arithmetic number, because the mean of its divisors is an integer number (135510375).

Almost surely, 212018445992 is an apocalyptic number.

12018445992 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 12018445992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19513494000).

12018445992 is an abundant number, since it is smaller than the sum of its proper divisors (27008542008).

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

12018445992 is a wasteful number, since it uses less digits than its factorization.

12018445992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

It can be divided in two parts, 120184 and 45992, that added together give a triangular number (166176 = T576).

The spelling of 12018445992 in words is "twelve billion, eighteen million, four hundred forty-five thousand, nine hundred ninety-two".