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6731700864 = 27372986357
BaseRepresentation
bin1100100010011110…
…11001101010000000
3122101010212211120020
412101033121222000
5102241303411424
63031551413440
7325550341020
oct62117315200
918333784506
106731700864
112944962549
12137a524280
13833857365
1447c079a80
15295ebd079
hex1913d9a80

6731700864 has 128 divisors (see below), whose sum is σ = 21140438400. Its totient is φ = 1856999424.

The previous prime is 6731700863. The next prime is 6731700947. The reversal of 6731700864 is 4680071376.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (6731700863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34774 + ... + 121130.

It is an arithmetic number, because the mean of its divisors is an integer number (165159675).

Almost surely, 26731700864 is an apocalyptic number.

6731700864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6731700864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10570219200).

6731700864 is an abundant number, since it is smaller than the sum of its proper divisors (14408737536).

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

6731700864 is a wasteful number, since it uses less digits than its factorization.

6731700864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86410 (or 86398 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 6731700864 is about 82046.9430509145. The cubic root of 6731700864 is about 1888.1722168865.

The spelling of 6731700864 in words is "six billion, seven hundred thirty-one million, seven hundred thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 128 168 174 192 203 224 232 336 348 384 406 448 464 609 672 696 812 896 928 1218 1344 1392 1624 1856 2436 2688 2784 3248 3712 4872 5568 6496 9744 11136 12992 19488 25984 38976 77952 86357 172714 259071 345428 518142 604499 690856 1036284 1208998 1381712 1813497 2072568 2417996 2504353 2763424 3626994 4145136 4835992 5008706 5526848 7253988 7513059 8290272 9671984 10017412 11053696 14507976 15026118 16580544 17530471 19343968 20034824 29015952 30052236 33161088 35060942 38687936 40069648 52591413 58031904 60104472 70121884 77375872 80139296 105182826 116063808 120208944 140243768 160278592 210365652 232127616 240417888 280487536 320557184 420731304 480835776 560975072 841462608 961671552 1121950144 1682925216 2243900288 3365850432 6731700864