Search a number
-
+
6681085136 = 24111741107509
BaseRepresentation
bin1100011100011100…
…10100010011010000
3122020121122021211122
412032032110103100
5102140324211021
63022542501412
7324364200215
oct61616242320
918217567748
106681085136
112919331170
121365594868
1382621491b
14475461b0c
15291820bab
hex18e3944d0

6681085136 has 160 divisors (see below), whose sum is σ = 15490258560. Its totient is φ = 2757017600.

The previous prime is 6681085123. The next prime is 6681085189. The reversal of 6681085136 is 6315801866.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 13125650 + ... + 13126158.

It is an arithmetic number, because the mean of its divisors is an integer number (96814116).

Almost surely, 26681085136 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 6681085136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7745129280).

6681085136 is an abundant number, since it is smaller than the sum of its proper divisors (8809173424).

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

6681085136 is a wasteful number, since it uses less digits than its factorization.

6681085136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The square root of 6681085136 is about 81737.9051358670. The cubic root of 6681085136 is about 1883.4279106775.

The spelling of 6681085136 in words is "six billion, six hundred eighty-one million, eighty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 17 22 34 41 44 68 82 88 107 136 164 176 187 214 272 328 374 428 451 509 656 697 748 856 902 1018 1177 1394 1496 1712 1804 1819 2036 2354 2788 2992 3608 3638 4072 4387 4708 5576 5599 7216 7276 7667 8144 8653 8774 9416 11152 11198 14552 15334 17306 17548 18832 20009 20869 22396 29104 30668 34612 35096 40018 41738 44792 48257 54463 61336 69224 70192 74579 80036 83476 89584 95183 96514 108926 122672 138448 149158 160072 166952 190366 193028 217852 229559 298316 320144 333904 354773 380732 386056 435704 459118 596632 599093 709546 761464 772112 820369 871408 918236 925871 1193264 1198186 1419092 1522928 1640738 1836472 1851742 2232983 2396372 2838184 3281476 3672944 3703484 3902503 4465966 4792744 5676368 6562952 7406968 7805006 8931932 9585488 10184581 13125904 14813936 15610012 17863864 20369162 24562813 31220024 35727728 37960711 40738324 49125626 62440048 75921422 81476648 98251252 151842844 162953296 196502504 303685688 393005008 417567821 607371376 835135642 1670271284 3340542568 6681085136