Search a number
-
+
6684574464 = 28331675791
BaseRepresentation
bin1100011100110111…
…01000001100000000
3122020212012120022000
412032123220030000
5102142222340324
63023145344000
7324435642201
oct61633501400
918225176260
106684574464
1129202a4807
121366798000
13826b66c09
14475acd5a8
15291cae9c9
hex18e6e8300

6684574464 has 144 divisors (see below), whose sum is σ = 19889264640. Its totient is φ = 2214466560.

The previous prime is 6684574453. The next prime is 6684574469. The reversal of 6684574464 is 4644754866.

It is a happy number.

6684574464 is a `hidden beast` number, since 6 + 6 + 8 + 4 + 574 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6684574464.

It is not an unprimeable number, because it can be changed into a prime (6684574469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1151409 + ... + 1157199.

Almost surely, 26684574464 is an apocalyptic number.

6684574464 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 6684574464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9944632320).

6684574464 is an abundant number, since it is smaller than the sum of its proper divisors (13204690176).

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

6684574464 is a wasteful number, since it uses less digits than its factorization.

6684574464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5983 (or 5963 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The square root of 6684574464 is about 81759.2469632640. The cubic root of 6684574464 is about 1883.7557393582.

The spelling of 6684574464 in words is "six billion, six hundred eighty-four million, five hundred seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 167 192 216 256 288 334 384 432 501 576 668 768 864 1002 1152 1336 1503 1728 2004 2304 2672 3006 3456 4008 4509 5344 5791 6012 6912 8016 9018 10688 11582 12024 16032 17373 18036 21376 23164 24048 32064 34746 36072 42752 46328 48096 52119 64128 69492 72144 92656 96192 104238 128256 138984 144288 156357 185312 192384 208476 277968 288576 312714 370624 384768 416952 555936 577152 625428 741248 833904 967097 1111872 1154304 1250856 1482496 1667808 1934194 2223744 2501712 2901291 3335616 3868388 4447488 5003424 5802582 6671232 7736776 8703873 10006848 11605164 13342464 15473552 17407746 20013696 23210328 26111619 30947104 34815492 40027392 46420656 52223238 61894208 69630984 92841312 104446476 123788416 139261968 185682624 208892952 247576832 278523936 371365248 417785904 557047872 742730496 835571808 1114095744 1671143616 2228191488 3342287232 6684574464