Search a number
-
+
10007687593 = 31913136223
BaseRepresentation
bin10010101001000000…
…10011000110101001
3221211110020012112001
421110200103012221
5130443432000333
64333015251001
7502666640521
oct112440230651
927743205461
1010007687593
1142760958a2
121b33679a61
13c3647c647
146ad1a4681
153d88cab7d
hex2548131a9

10007687593 has 4 divisors (see below), whose sum is σ = 10010827008. Its totient is φ = 10004548180.

The previous prime is 10007687579. The next prime is 10007687611. The reversal of 10007687593 is 39578670001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10007687593 - 217 = 10007556521 is a prime.

It is a super-2 number, since 2×100076875932 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10007687533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1564921 + ... + 1571302.

It is an arithmetic number, because the mean of its divisors is an integer number (2502706752).

Almost surely, 210007687593 is an apocalyptic number.

It is an amenable number.

10007687593 is a deficient number, since it is larger than the sum of its proper divisors (3139415).

10007687593 is an equidigital number, since it uses as much as digits as its factorization.

10007687593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3139414.

The product of its (nonzero) digits is 317520, while the sum is 46.

The spelling of 10007687593 in words is "ten billion, seven million, six hundred eighty-seven thousand, five hundred ninety-three".

Divisors: 1 3191 3136223 10007687593