Search a number
-
+
6875421696 = 2103311133747
BaseRepresentation
bin1100110011100111…
…01001110000000000
3122202011022121111000
412121303221300000
5103040101443241
63054124052000
7332244056133
oct63163516000
918664277430
106875421696
112a08aa60a0
1213ba694000
13857568180
144931ac21a
152a390beb6
hex199ce9c00

6875421696 has 704 divisors, whose sum is σ = 25090652160. Its totient is φ = 1831403520.

The previous prime is 6875421677. The next prime is 6875421713. The reversal of 6875421696 is 6961245786.

6875421696 is a `hidden beast` number, since 6 + 8 + 7 + 542 + 1 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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 63 ways as a sum of consecutive naturals, for example, 146285545 + ... + 146285591.

Almost surely, 26875421696 is an apocalyptic number.

6875421696 is a gapful number since it is divisible by the number (66) 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 6875421696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12545326080).

6875421696 is an abundant number, since it is smaller than the sum of its proper divisors (18215230464).

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

6875421696 is a wasteful number, since it uses less digits than its factorization.

6875421696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 113 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 6875421696 is about 82918.1626424513. The cubic root of 6875421696 is about 1901.5151069153.

The spelling of 6875421696 in words is "six billion, eight hundred seventy-five million, four hundred twenty-one thousand, six hundred ninety-six".