Search a number
-
+
12417217410 = 2351331839019
BaseRepresentation
bin10111001000001111…
…11011001110000010
31012001101012000001010
423210013323032002
5200412301424120
65412052021350
7616465415013
oct134407731602
935041160033
1012417217410
1152a2217254
1224a6601856
13122b723b30
1485b1c500a
154ca1d57e0
hex2e41fb382

12417217410 has 32 divisors (see below), whose sum is σ = 32093732160. Its totient is φ = 3056545728.

The previous prime is 12417217409. The next prime is 12417217429. The reversal of 12417217410 is 1471271421.

12417217410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 15919120 + ... + 15919899.

It is an arithmetic number, because the mean of its divisors is an integer number (1002929130).

Almost surely, 212417217410 is an apocalyptic number.

12417217410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12417217410 is an abundant number, since it is smaller than the sum of its proper divisors (19676514750).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12417217410 is a wasteful number, since it uses less digits than its factorization.

12417217410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31839042.

The product of its (nonzero) digits is 3136, while the sum is 30.

Adding to 12417217410 its reverse (1471271421), we get a palindrome (13888488831).

The spelling of 12417217410 in words is "twelve billion, four hundred seventeen million, two hundred seventeen thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 31839019 63678038 95517057 159195095 191034114 318390190 413907247 477585285 827814494 955170570 1241721741 2069536235 2483443482 4139072470 6208608705 12417217410