Search a number
-
+
10008680001 = 314922390783
BaseRepresentation
bin10010101001001000…
…00101011001000001
3221211112002121211220
421110210011121001
5130444210230001
64333052425253
7503011243035
oct112444053101
927745077756
1010008680001
114276703471
121b33a78229
13c36739278
146ad3821c5
153d8a24c36
hex254905641

10008680001 has 8 divisors (see below), whose sum is σ = 13434470400. Its totient is φ = 6627671472.

The previous prime is 10008679997. The next prime is 10008680039.

10008680001 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 10008680001 - 22 = 10008679997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10008680051) 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, 11194945 + ... + 11195838.

It is an arithmetic number, because the mean of its divisors is an integer number (1679308800).

Almost surely, 210008680001 is an apocalyptic number.

It is an amenable number.

10008680001 is a deficient number, since it is larger than the sum of its proper divisors (3425790399).

10008680001 is a wasteful number, since it uses less digits than its factorization.

10008680001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22390935.

The product of its (nonzero) digits is 384, while the sum is 24.

The spelling of 10008680001 in words is "ten billion, eight million, six hundred eighty thousand, one".

Divisors: 1 3 149 447 22390783 67172349 3336226667 10008680001