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6692400080 = 24583655001
BaseRepresentation
bin1100011101110010…
…11110101111010000
3122021101221011000122
412032321132233100
5102201223300310
63024025205412
7324562314332
oct61671365720
918241834018
106692400080
11292475a263
121369330868
13828676b62
14476b69452
15292808555
hex18ee5ebd0

6692400080 has 20 divisors (see below), whose sum is σ = 15559830372. Its totient is φ = 2676960000.

The previous prime is 6692400079. The next prime is 6692400083. The reversal of 6692400080 is 800042966.

It can be written as a sum of positive squares in 2 ways, for example, as 4970814016 + 1721586064 = 70504^2 + 41492^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6692400080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6692400083) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 41827421 + ... + 41827580.

Almost surely, 26692400080 is an apocalyptic number.

It is an amenable number.

6692400080 is an abundant number, since it is smaller than the sum of its proper divisors (8867430292).

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

6692400080 is a wasteful number, since it uses less digits than its factorization.

6692400080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83655014 (or 83655008 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 6692400080 is about 81807.0906462270. The cubic root of 6692400080 is about 1884.4905555253.

The spelling of 6692400080 in words is "six billion, six hundred ninety-two million, four hundred thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83655001 167310002 334620004 418275005 669240008 836550010 1338480016 1673100020 3346200040 6692400080