Search a number
-
+
10008280095 = 3511311956653
BaseRepresentation
bin10010101001000101…
…00011110000011111
3221211111100022021120
421110202203300133
5130444104430340
64333040102023
7503004656112
oct112442436037
927744308246
1010008280095
11427645aa70
121b33904913
13c36629238
146ad2ba579
153d89964d0
hex2548a3c1f

10008280095 has 32 divisors (see below), whose sum is σ = 18032523264. Its totient is φ = 4695964800.

The previous prime is 10008280067. The next prime is 10008280097. The reversal of 10008280095 is 59008280001.

It is a happy number.

It is not a de Polignac number, because 10008280095 - 28 = 10008279839 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10008280097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 973212 + ... + 983441.

It is an arithmetic number, because the mean of its divisors is an integer number (563516352).

Almost surely, 210008280095 is an apocalyptic number.

10008280095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10008280095 is a deficient number, since it is larger than the sum of its proper divisors (8024243169).

10008280095 is a wasteful number, since it uses less digits than its factorization.

10008280095 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956703.

The product of its (nonzero) digits is 5760, while the sum is 33.

The spelling of 10008280095 in words is "ten billion, eight million, two hundred eighty thousand, ninety-five".

Divisors: 1 3 5 11 15 31 33 55 93 155 165 341 465 1023 1705 5115 1956653 5869959 9783265 21523183 29349795 60656243 64569549 107615915 181968729 303281215 322847745 667218673 909843645 2001656019 3336093365 10008280095