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6614444064 = 253417123669
BaseRepresentation
bin1100010100100000…
…00110100000100000
3122001222020120110210
412022100012200200
5102021244202224
63012202254120
7322624563324
oct61220064040
918058216423
106614444064
1128947547a8
1213471b7340
13815480c37
1446a675984
1528aa5a429
hex18a406820

6614444064 has 96 divisors (see below), whose sum is σ = 18037676160. Its totient is φ = 2120652800.

The previous prime is 6614444059. The next prime is 6614444071. The reversal of 6614444064 is 4604444166.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267622 + ... + 291290.

It is an arithmetic number, because the mean of its divisors is an integer number (187892460).

Almost surely, 26614444064 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 6614444064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9018838080).

6614444064 is an abundant number, since it is smaller than the sum of its proper divisors (11423232096).

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

6614444064 is a wasteful number, since it uses less digits than its factorization.

6614444064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23794 (or 23786 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

The square root of 6614444064 is about 81329.2325304991. The cubic root of 6614444064 is about 1877.1448345940.

The spelling of 6614444064 in words is "six billion, six hundred fourteen million, four hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 71 82 96 123 142 164 213 246 284 328 426 492 568 656 852 984 1136 1312 1704 1968 2272 2911 3408 3936 5822 6816 8733 11644 17466 23288 23669 34932 46576 47338 69864 71007 93152 94676 139728 142014 189352 279456 284028 378704 568056 757408 970429 1136112 1680499 1940858 2272224 2911287 3360998 3881716 5041497 5822574 6721996 7763432 10082994 11645148 13443992 15526864 20165988 23290296 26887984 31053728 40331976 46580592 53775968 68900459 80663952 93161184 137800918 161327904 206701377 275601836 413402754 551203672 826805508 1102407344 1653611016 2204814688 3307222032 6614444064