Search a number
-
+
16044791807232 = 2836292964617
BaseRepresentation
bin1110100101111011100000…
…0111011011110100000000
32002210212102010110101000000
43221132320013123310000
54100334213200312412
654042513044000000
73244124620054656
oct351367007336400
962725363411000
1016044791807232
115126615763181
121971708390000
138c502c234066
143d6801a74dd6
151cc5663e24dc
hexe97b81dbd00

16044791807232 has 252 divisors, whose sum is σ = 49674220176420. Its totient is φ = 5163839299584.

The previous prime is 16044791807227. The next prime is 16044791807269. The reversal of 16044791807232 is 23270819744061.

16044791807232 is a `hidden beast` number, since 1 + 6 + 0 + 447 + 91 + 80 + 7 + 2 + 32 = 666.

16044791807232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2504040397056 + 13540751410176 = 1582416^2 + 3679776^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3929788 + ... + 6894404.

It is an arithmetic number, because the mean of its divisors is an integer number (197119921335).

Almost surely, 216044791807232 is an apocalyptic number.

16044791807232 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 16044791807232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24837110088210).

16044791807232 is an abundant number, since it is smaller than the sum of its proper divisors (33629428369188).

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

16044791807232 is an frugal number, since it uses more digits than its factorization.

16044791807232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2964680 (or 2964651 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 16044791807232 in words is "sixteen trillion, forty-four billion, seven hundred ninety-one million, eight hundred seven thousand, two hundred thirty-two".