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6740074116 = 22321743925087
BaseRepresentation
bin1100100011011110…
…10101111010000100
3122101201122020111200
412101233111322010
5102300424332431
63032451102500
7326011453566
oct62157257204
918351566450
106740074116
112949661496
1213812a1a30
138354c9649
1447d219336
15296ac3ee6
hex191bd5e84

6740074116 has 72 divisors (see below), whose sum is σ = 18081423360. Its totient is φ = 2109632256.

The previous prime is 6740074111. The next prime is 6740074163. The reversal of 6740074116 is 6114700476.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6740074111) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 256125 + ... + 281211.

It is an arithmetic number, because the mean of its divisors is an integer number (251130880).

Almost surely, 26740074116 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 6740074116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9040711680).

6740074116 is an abundant number, since it is smaller than the sum of its proper divisors (11341349244).

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

6740074116 is a wasteful number, since it uses less digits than its factorization.

6740074116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25553 (or 25548 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 6740074116 is about 82097.9543959531. The cubic root of 6740074116 is about 1888.9547626090.

The spelling of 6740074116 in words is "six billion, seven hundred forty million, seventy-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 439 612 878 1317 1756 2634 3951 5268 7463 7902 14926 15804 22389 25087 29852 44778 50174 67167 75261 89556 100348 134334 150522 225783 268668 301044 426479 451566 852958 903132 1279437 1705916 2558874 3838311 5117748 7676622 11013193 15353244 22026386 33039579 44052772 66079158 99118737 132158316 187224281 198237474 374448562 396474948 561672843 748897124 1123345686 1685018529 2246691372 3370037058 6740074116