Search a number
-
+
786806400661 = 7127534025347
BaseRepresentation
bin10110111001100010101…
…00001110011010010101
32210012212220001110011021
423130301110032122111
5100342334414310121
61401242011441141
7110562540025561
oct13346124163225
92705786043137
10786806400661
11283756779296
121085a3a561b1
1359270751b68
142a1200026a1
15156eed9c641
hexb73150e695

786806400661 has 8 divisors (see below), whose sum is σ = 798178204224. Its totient is φ = 775442653440.

The previous prime is 786806400659. The next prime is 786806400671. The reversal of 786806400661 is 166004608687.

It is a happy number.

786806400661 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 786806400661 - 21 = 786806400659 is a prime.

It is a super-2 number, since 2×7868064006612 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 786806400599 and 786806400608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (786806400671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1817211 + ... + 2208136.

It is an arithmetic number, because the mean of its divisors is an integer number (99772275528).

Almost surely, 2786806400661 is an apocalyptic number.

786806400661 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

It is an amenable number.

786806400661 is a deficient number, since it is larger than the sum of its proper divisors (11371803563).

786806400661 is a wasteful number, since it uses less digits than its factorization.

786806400661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4028171.

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 786806400661 in words is "seven hundred eighty-six billion, eight hundred six million, four hundred thousand, six hundred sixty-one".

Divisors: 1 71 2753 195463 4025347 285799637 11081780291 786806400661