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6672765344 = 257193075107
BaseRepresentation
bin1100011011011101…
…00101000110100000
3122020000222121020012
412031232211012200
5102131211442334
63022044304052
7324233366240
oct61556450640
918200877205
106672765344
112914669403
121362842028
13824590a7b
144742d7b20
15290c2a9ce
hex18dba51a0

6672765344 has 96 divisors (see below), whose sum is σ = 15858501120. Its totient is φ = 2699889408.

The previous prime is 6672765269. The next prime is 6672765377. The reversal of 6672765344 is 4435672766.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6672765292 and 6672765301.

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, 1304039 + ... + 1309145.

It is an arithmetic number, because the mean of its divisors is an integer number (165192720).

Almost surely, 26672765344 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 6672765344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7929250560).

6672765344 is an abundant number, since it is smaller than the sum of its proper divisors (9185735776).

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

6672765344 is a wasteful number, since it uses less digits than its factorization.

6672765344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5450 (or 5442 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 50.

The square root of 6672765344 is about 81686.9961744218. The cubic root of 6672765344 is about 1882.6457903570.

The spelling of 6672765344 in words is "six billion, six hundred seventy-two million, seven hundred sixty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 307 532 608 614 1064 1228 2128 2149 2456 4256 4298 4912 5107 5833 8596 9824 10214 11666 17192 20428 23332 34384 35749 40831 40856 46664 68768 71498 81662 81712 93328 97033 142996 163324 163424 186656 194066 285992 326648 388132 571984 653296 679231 776264 1143968 1306592 1358462 1552528 1567849 2716924 3105056 3135698 5433848 6271396 10867696 10974943 12542792 21735392 21949886 25085584 29789131 43899772 50171168 59578262 87799544 119156524 175599088 208523917 238313048 351198176 417047834 476626096 834095668 953252192 1668191336 3336382672 6672765344