Search a number
-
+
10342046505 = 35798495681
BaseRepresentation
bin10011010000110111…
…10001101100101001
3222200202101101201110
421220123301230221
5132140030442010
64430121540533
7514166642040
oct115033615451
928622341643
1010342046505
1144278a767a
122007644749
13c8a81a45b
1470175d557
15407e25120
hex2686f1b29

10342046505 has 16 divisors (see below), whose sum is σ = 18911170944. Its totient is φ = 4727792640.

The previous prime is 10342046483. The next prime is 10342046513. The reversal of 10342046505 is 50564024301.

10342046505 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10342046505 - 29 = 10342045993 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49247736 + ... + 49247945.

It is an arithmetic number, because the mean of its divisors is an integer number (1181948184).

Almost surely, 210342046505 is an apocalyptic number.

10342046505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10342046505 is a deficient number, since it is larger than the sum of its proper divisors (8569124439).

10342046505 is an equidigital number, since it uses as much as digits as its factorization.

10342046505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98495696.

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 10342046505 in words is "ten billion, three hundred forty-two million, forty-six thousand, five hundred five".

Divisors: 1 3 5 7 15 21 35 105 98495681 295487043 492478405 689469767 1477435215 2068409301 3447348835 10342046505