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6814038192 = 24313174779173
BaseRepresentation
bin1100101100010010…
…11111100010110000
3122120212211000010220
412112021133202300
5102423343210232
63044052253040
7330600240363
oct62611374260
918525730126
106814038192
11298738a825
1213a2011180
13847925580
14488d900da
1529d33442c
hex19625f8b0

6814038192 has 320 divisors, whose sum is σ = 20878663680. Its totient is φ = 1895841792.

The previous prime is 6814038163. The next prime is 6814038241. The reversal of 6814038192 is 2918304186.

It is a super-2 number, since 2×68140381922 = 92862232964069257728, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39387418 + ... + 39387590.

It is an arithmetic number, because the mean of its divisors is an integer number (65245824).

Almost surely, 26814038192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6814038192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10439331840).

6814038192 is an abundant number, since it is smaller than the sum of its proper divisors (14064625488).

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

6814038192 is a wasteful number, since it uses less digits than its factorization.

6814038192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 6814038192 is about 82547.1876686299. The cubic root of 6814038192 is about 1895.8392972092.

The spelling of 6814038192 in words is "six billion, eight hundred fourteen million, thirty-eight thousand, one hundred ninety-two".