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6709341072 = 243727936109
BaseRepresentation
bin1100011111110100…
…00110101110010000
3122022120210211200210
412033322012232100
5102220042403242
63025432244120
7325156313100
oct61772065620
918276724623
106709341072
112933280285
121372b40640
1382c028b05
144790d9200
15294052d9c
hex18fe86b90

6709341072 has 120 divisors (see below), whose sum is σ = 20418038400. Its totient is φ = 1892636928.

The previous prime is 6709341071. The next prime is 6709341101. The reversal of 6709341072 is 2701439076.

It is a super-2 number, since 2×67093410722 = 90030515240852218368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6709341072.

It is not an unprimeable number, because it can be changed into a prime (6709341071) 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, 167754 + ... + 203862.

It is an arithmetic number, because the mean of its divisors is an integer number (170150320).

Almost surely, 26709341072 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 6709341072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10209019200).

6709341072 is an abundant number, since it is smaller than the sum of its proper divisors (13708697328).

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

6709341072 is a wasteful number, since it uses less digits than its factorization.

6709341072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36213 (or 36200 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 6709341072 is about 81910.5675233666. The cubic root of 6709341072 is about 1886.0793347709.

The spelling of 6709341072 in words is "six billion, seven hundred nine million, three hundred forty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 79 84 98 112 147 158 168 196 237 294 316 336 392 474 553 588 632 784 948 1106 1176 1264 1659 1896 2212 2352 3318 3792 3871 4424 6636 7742 8848 11613 13272 15484 23226 26544 30968 36109 46452 61936 72218 92904 108327 144436 185808 216654 252763 288872 433308 505526 577744 758289 866616 1011052 1516578 1733232 1769341 2022104 2852611 3033156 3538682 4044208 5308023 5705222 6066312 7077364 8557833 10616046 11410444 12132624 14154728 17115666 19968277 21232092 22820888 28309456 34231332 39936554 42464184 45641776 59904831 68462664 79873108 84928368 119809662 136925328 139777939 159746216 239619324 279555878 319492432 419333817 479238648 559111756 838667634 958477296 1118223512 1677335268 2236447024 3354670536 6709341072