Search a number
-
+
16806643992 = 2335292411237
BaseRepresentation
bin11111010011100000…
…10000100100011000
31121101021122222100000
433221300100210120
5233410000101432
611415412413000
71133325055035
oct175160204430
947337588300
1016806643992
117144a04426
123310617160
13177ac24278
14b5614a38c
1568573157c
hex3e9c10918

16806643992 has 192 divisors, whose sum is σ = 49073824800. Its totient is φ = 5382236160.

The previous prime is 16806643969. The next prime is 16806643999. The reversal of 16806643992 is 29934660861.

16806643992 is a `hidden beast` number, since 1 + 68 + 0 + 66 + 439 + 92 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16806643999) 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, 13585998 + ... + 13587234.

Almost surely, 216806643992 is an apocalyptic number.

16806643992 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 16806643992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24536912400).

16806643992 is an abundant number, since it is smaller than the sum of its proper divisors (32267180808).

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

16806643992 is a wasteful number, since it uses less digits than its factorization.

16806643992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 16806643992 in words is "sixteen billion, eight hundred six million, six hundred forty-three thousand, nine hundred ninety-two".