Search a number
-
+
16786830096 = 2434592612
BaseRepresentation
bin11111010001001001…
…01011001100010000
31121022220101022210000
433220210223030100
5233334412030341
611413424010000
71132664462421
oct175044531420
947286338700
1016786830096
117134800a03
123305a60900
131776aa777a
14b5366d648
15683b1a8b6
hex3e892b310

16786830096 has 225 divisors, whose sum is σ = 50246906853. Its totient is φ = 5410592640.

The previous prime is 16786830089. The next prime is 16786830097. The reversal of 16786830096 is 69003868761.

It is a happy number.

The square root of 16786830096 is 129564.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 545876496 + 16240953600 = 23364^2 + 127440^2 .

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

It is not an unprimeable number, because it can be changed into a prime (16786830097) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 275193906 + ... + 275193966.

Almost surely, 216786830096 is an apocalyptic number.

16786830096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16786830096 is the 129564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16786830096

16786830096 is an abundant number, since it is smaller than the sum of its proper divisors (33460076757).

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

16786830096 is an frugal number, since it uses more digits than its factorization.

16786830096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 16786830096 in words is "sixteen billion, seven hundred eighty-six million, eight hundred thirty thousand, ninety-six".