Search a number
-
+
12015150840 = 233257211193259
BaseRepresentation
bin10110011000010100…
…01010011011111000
31011000100121220101200
423030022022123320
5144101334311330
65304130214200
7603514045200
oct131412123370
934010556350
1012015150840
11510626a730
1223b3a24360
13119633aa14
1481da43400
154a4c64a60
hex2cc28a6f8

12015150840 has 576 divisors, whose sum is σ = 52178256000. Its totient is φ = 2364526080.

The previous prime is 12015150817. The next prime is 12015150853. The reversal of 12015150840 is 4805151021.

12015150840 is a `hidden beast` number, since 1 + 2 + 0 + 151 + 508 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3685131 + ... + 3688389.

It is an arithmetic number, because the mean of its divisors is an integer number (90587250).

Almost surely, 212015150840 is an apocalyptic number.

12015150840 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 12015150840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26089128000).

12015150840 is an abundant number, since it is smaller than the sum of its proper divisors (40163105160).

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

12015150840 is a wasteful number, since it uses less digits than its factorization.

12015150840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3320 (or 3306 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The spelling of 12015150840 in words is "twelve billion, fifteen million, one hundred fifty thousand, eight hundred forty".