Search a number
-
+
16606973376 = 26337328019
BaseRepresentation
bin11110111011101101…
…00100110111000000
31120212100221122202000
433131312210313000
5233002341122001
611343521024000
71125351642000
oct173566446700
946770848660
1016606973376
117052226994
123275785000
131748753b86
14b37812000
15672e3ea86
hex3ddda4dc0

16606973376 has 224 divisors, whose sum is σ = 56936640000. Its totient is φ = 4744680192.

The previous prime is 16606973363. The next prime is 16606973393. The reversal of 16606973376 is 67337960661.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×166069733762 (a number of 21 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578695 + ... + 606713.

Almost surely, 216606973376 is an apocalyptic number.

16606973376 is a gapful number since it is divisible by the number (16) 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 16606973376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28468320000).

16606973376 is an abundant number, since it is smaller than the sum of its proper divisors (40329666624).

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

16606973376 is an equidigital number, since it uses as much as digits as its factorization.

16606973376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28061 (or 28031 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 16606973376 in words is "sixteen billion, six hundred six million, nine hundred seventy-three thousand, three hundred seventy-six".