Search a number
-
+
2417381991 = 322391123841
BaseRepresentation
bin1001000000010110…
…0101001001100111
320020110201201200100
42100011211021213
514422322210431
61035512515143
7113622256623
oct22005451147
96213651610
102417381991
111030604962
125756abab3
132c6a9355b
1418d0a6183
15e235b4e6
hex90165267

2417381991 has 12 divisors (see below), whose sum is σ = 3506387040. Its totient is φ = 1604843520.

The previous prime is 2417381969. The next prime is 2417381999. The reversal of 2417381991 is 1991837142.

It is not a de Polignac number, because 2417381991 - 222 = 2413187687 is a prime.

It is a super-2 number, since 2×24173819912 = 11687471380822248162, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2417381999) 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 11 ways as a sum of consecutive naturals, for example, 559770 + ... + 564071.

It is an arithmetic number, because the mean of its divisors is an integer number (292198920).

Almost surely, 22417381991 is an apocalyptic number.

2417381991 is a deficient number, since it is larger than the sum of its proper divisors (1089005049).

2417381991 is a wasteful number, since it uses less digits than its factorization.

2417381991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124086 (or 1124083 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 2417381991 is about 49166.8790040613. The cubic root of 2417381991 is about 1342.0903719931.

The spelling of 2417381991 in words is "two billion, four hundred seventeen million, three hundred eighty-one thousand, nine hundred ninety-one".

Divisors: 1 3 9 239 717 2151 1123841 3371523 10114569 268597999 805793997 2417381991