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6684241680 = 243259283669
BaseRepresentation
bin1100011100110100…
…10110111100010000
3122020211120122210200
412032122112330100
5102142131213210
63023134255200
7324433055034
oct61632267420
918224518720
106684241680
112920097786
121366657500
13826a7b5bc
14475a441c4
15291c460c0
hex18e696f10

6684241680 has 60 divisors (see below), whose sum is σ = 22447914060. Its totient is φ = 1782464256.

The previous prime is 6684241673. The next prime is 6684241703. The reversal of 6684241680 is 861424866.

6684241680 is a `hidden beast` number, since 6 + 68 + 424 + 168 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 894249216 + 5789992464 = 29904^2 + 76092^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4641115 + ... + 4642554.

It is an arithmetic number, because the mean of its divisors is an integer number (374131901).

Almost surely, 26684241680 is an apocalyptic number.

6684241680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6684241680 is an abundant number, since it is smaller than the sum of its proper divisors (15763672380).

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

6684241680 is a wasteful number, since it uses less digits than its factorization.

6684241680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9283688 (or 9283679 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 6684241680 is about 81757.2117919881. The cubic root of 6684241680 is about 1883.7244786211.

The spelling of 6684241680 in words is "six billion, six hundred eighty-four million, two hundred forty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 9283669 18567338 27851007 37134676 46418345 55702014 74269352 83553021 92836690 111404028 139255035 148538704 167106042 185673380 222808056 278510070 334212084 371346760 417765105 445616112 557020140 668424168 742693520 835530210 1114040280 1336848336 1671060420 2228080560 3342120840 6684241680