Search a number
-
+
10000837705 = 53535666197
BaseRepresentation
bin10010101000001100…
…01010110001001001
3221210222100012020111
421110012022301021
5130440203301310
64332212354321
7502554501145
oct112406126111
927728305214
1010000837705
114272237431
121b313159a1
13c34c21861
146ac300225
153d7ec628a
hex25418ac49

10000837705 has 8 divisors (see below), whose sum is σ = 12035004552. Its totient is φ = 7978003968.

The previous prime is 10000837681. The next prime is 10000837709. The reversal of 10000837705 is 50773800001.

It can be written as a sum of positive squares in 4 ways, for example, as 1215149881 + 8785687824 = 34859^2 + 93732^2 .

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 10000837705 - 227 = 9866619977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000837709) 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 7 ways as a sum of consecutive naturals, for example, 2831334 + ... + 2834863.

It is an arithmetic number, because the mean of its divisors is an integer number (1504375569).

Almost surely, 210000837705 is an apocalyptic number.

It is an amenable number.

10000837705 is a deficient number, since it is larger than the sum of its proper divisors (2034166847).

10000837705 is an equidigital number, since it uses as much as digits as its factorization.

10000837705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5666555.

The product of its (nonzero) digits is 5880, while the sum is 31.

The spelling of 10000837705 in words is "ten billion, eight hundred thirty-seven thousand, seven hundred five".

Divisors: 1 5 353 1765 5666197 28330985 2000167541 10000837705