Search a number
-
+
6769870272 = 2633113111489
BaseRepresentation
bin1100100111000010…
…00000010111000000
3122110210201001011000
412103201000113000
5102331041322042
63035433452000
7326522643054
oct62341002700
918423631130
106769870272
112964462810
12138b271000
1383b72c8c9
14483173c64
1529950c74c
hex1938405c0

6769870272 has 224 divisors, whose sum is σ = 22413772800. Its totient is φ = 1985126400.

The previous prime is 6769870189. The next prime is 6769870273. The reversal of 6769870272 is 2720789676.

It is a super-2 number, since 2×67698702722 = 91662286999418707968, which 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 not an unprimeable number, because it can be changed into a prime (6769870273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583504 + ... + 594992.

Almost surely, 26769870272 is an apocalyptic number.

6769870272 is a gapful number since it is divisible by the number (62) 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 6769870272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11206886400).

6769870272 is an abundant number, since it is smaller than the sum of its proper divisors (15643902528).

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

6769870272 is a wasteful number, since it uses less digits than its factorization.

6769870272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11552 (or 11536 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 6769870272 is about 82279.2213866903. The cubic root of 6769870272 is about 1891.7342006599.

The spelling of 6769870272 in words is "six billion, seven hundred sixty-nine million, eight hundred seventy thousand, two hundred seventy-two".