Search a number
-
+
6818372190 = 23257311272749
BaseRepresentation
bin1100101100110100…
…00001101001011110
3122121011222012021100
412112122001221132
5102431000402230
63044325213530
7330652131060
oct62632015136
918534865240
106818372190
11298987aa43
1213a35612a6
138487b2176
1448979b730
1529d8dd660
hex196681a5e

6818372190 has 192 divisors, whose sum is σ = 21086208000. Its totient is φ = 1495791360.

The previous prime is 6818372153. The next prime is 6818372191. The reversal of 6818372190 is 912738186.

It is a super-2 number, since 2×68183721902 = 92980398642730792200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6818372191) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2478936 + ... + 2481684.

It is an arithmetic number, because the mean of its divisors is an integer number (109824000).

Almost surely, 26818372190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6818372190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10543104000).

6818372190 is an abundant number, since it is smaller than the sum of its proper divisors (14267835810).

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

6818372190 is a wasteful number, since it uses less digits than its factorization.

6818372190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 6818372190 is about 82573.4351350360. The cubic root of 6818372190 is about 1896.2411549665.

The spelling of 6818372190 in words is "six billion, eight hundred eighteen million, three hundred seventy-two thousand, one hundred ninety".