Search a number
-
+
849140402922 = 2327217731017681
BaseRepresentation
bin11000101101101001011…
…01100100101011101010
310000011210001110212002200
430112310231210223222
5102403014420343142
61450031213441030
7115230330222600
oct14266455445352
93004701425080
10849140402922
112a8133690839
1211869b4a0176
13620c58caa76
142d154855870
151714c48b64c
hexc5b4b64aea

849140402922 has 288 divisors, whose sum is σ = 2320161212304. Its totient is φ = 222953472000.

The previous prime is 849140402879. The next prime is 849140402959. The reversal of 849140402922 is 229204041948.

849140402922 is a `hidden beast` number, since 84 + 9 + 140 + 402 + 9 + 22 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 813172901121 + 35967501801 = 901761^2 + 189651^2 .

It is a super-2 number, since 2×8491404029222 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 110546922 + ... + 110554602.

Almost surely, 2849140402922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 849140402922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160080606152).

849140402922 is an abundant number, since it is smaller than the sum of its proper divisors (1471020809382).

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

849140402922 is a wasteful number, since it uses less digits than its factorization.

849140402922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7894 (or 7884 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 849140402922 in words is "eight hundred forty-nine billion, one hundred forty million, four hundred two thousand, nine hundred twenty-two".