Search a number
-
+
12089653632 = 2732717293041
BaseRepresentation
bin10110100001001100…
…10111100110000000
31011012112211001000100
423100212113212000
5144224422404012
65315351122400
7605410234410
oct132046274600
934175731010
1012089653632
115144326791
122414973400
1311a88c4c04
148298b8640
154ab57e8dc
hex2d0997980

12089653632 has 384 divisors, whose sum is σ = 43563873600. Its totient is φ = 3137863680.

The previous prime is 12089653607. The next prime is 12089653633. The reversal of 12089653632 is 23635698021.

12089653632 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 9 + 6 + 5 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12089653633) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3974032 + ... + 3977072.

Almost surely, 212089653632 is an apocalyptic number.

12089653632 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 12089653632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21781936800).

12089653632 is an abundant number, since it is smaller than the sum of its proper divisors (31474219968).

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

12089653632 is a wasteful number, since it uses less digits than its factorization.

12089653632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3114 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 12089653632 in words is "twelve billion, eighty-nine million, six hundred fifty-three thousand, six hundred thirty-two".