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6716341072 = 2472961109311
BaseRepresentation
bin1100100000101001…
…10011101101010000
3122100001222110220001
412100110303231100
5102223340403242
63030242255344
7325302646210
oct62024635520
918301873801
106716341072
112937221501
121375357554
1383060a01c
14479ddc240
15294986eb7
hex190533b50

6716341072 has 160 divisors (see below), whose sum is σ = 15831129600. Its totient is φ = 2699827200.

The previous prime is 6716341069. The next prime is 6716341087. The reversal of 6716341072 is 2701436176.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21595797 + ... + 21596107.

It is an arithmetic number, because the mean of its divisors is an integer number (98944560).

Almost surely, 26716341072 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 6716341072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7915564800).

6716341072 is an abundant number, since it is smaller than the sum of its proper divisors (9114788528).

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

6716341072 is a wasteful number, since it uses less digits than its factorization.

6716341072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 6716341072 is about 81953.2859133787. The cubic root of 6716341072 is about 1886.7350358478.

The spelling of 6716341072 in words is "six billion, seven hundred sixteen million, three hundred forty-one thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 61 109 112 116 122 203 218 232 244 311 406 427 436 464 488 622 763 812 854 872 976 1244 1526 1624 1708 1744 1769 2177 2488 3052 3161 3248 3416 3538 4354 4976 6104 6322 6649 6832 7076 8708 9019 12208 12383 12644 13298 14152 17416 18038 18971 22127 24766 25288 26596 28304 33899 34832 36076 37942 44254 46543 49532 50576 53192 63133 67798 72152 75884 88508 93086 99064 106384 126266 132797 135596 144304 151768 177016 186172 192821 198128 237293 252532 265594 271192 303536 354032 372344 385642 474586 505064 531188 542384 550159 744688 771284 949172 983071 1010128 1062376 1100318 1349747 1542568 1898344 1966142 2067839 2124752 2200636 2699494 3085136 3796688 3851113 3932284 4135678 4401272 5398988 6881497 7702226 7864568 8271356 8802544 10797976 13762994 14474873 15404452 15729136 16542712 21595952 27525988 28949746 30808904 33085424 55051976 57899492 59967331 61617808 110103952 115798984 119934662 231597968 239869324 419771317 479738648 839542634 959477296 1679085268 3358170536 6716341072