Search a number
-
+
12941832384 = 26321331127439
BaseRepresentation
bin11000000110110010…
…01011000011000000
31020101221100012111100
430003121023003000
5203001102114014
65540112214400
7635465521515
oct140331130300
936357305440
1012941832384
115541366248
12261223a400
1312b3316ab0
148aab4730c
1550b2b2009
hex30364b0c0

12941832384 has 336 divisors, whose sum is σ = 41656975360. Its totient is φ = 3814594560.

The previous prime is 12941832307. The next prime is 12941832391. The reversal of 12941832384 is 48323814921.

12941832384 is a `hidden beast` number, since 1 + 2 + 94 + 183 + 2 + 384 = 666.

It is a super-2 number, since 2×129418323842 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29480037 + ... + 29480475.

Almost surely, 212941832384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12941832384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20828487680).

12941832384 is an abundant number, since it is smaller than the sum of its proper divisors (28715142976).

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

12941832384 is a wasteful number, since it uses less digits than its factorization.

12941832384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 615 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 12941832384 in words is "twelve billion, nine hundred forty-one million, eight hundred thirty-two thousand, three hundred eighty-four".