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6687229952 = 2111321392
BaseRepresentation
bin1100011101001011…
…10000100000000000
3122021001012110221102
412032211300200000
5102143412324302
63023322313532
7324500342144
oct61645604000
918231173842
106687229952
112921848927
1213676588a8
13827586800
144761c1224
15292136702
hex18e970800

6687229952 has 108 divisors (see below), whose sum is σ = 14583781485. Its totient is φ = 3064209408.

The previous prime is 6687229951. The next prime is 6687230009. The reversal of 6687229952 is 2599227866.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 5717779456 + 969450496 = 75616^2 + 31136^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=57824.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (6687229951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 48109499 + ... + 48109637.

Almost surely, 26687229952 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 6687229952

6687229952 is an abundant number, since it is smaller than the sum of its proper divisors (7896551533).

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

6687229952 is an equidigital number, since it uses as much as digits as its factorization.

6687229952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 154 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 56.

The square root of 6687229952 is about 81775.4850306618. The cubic root of 6687229952 is about 1884.0051508222.

The spelling of 6687229952 in words is "six billion, six hundred eighty-seven million, two hundred twenty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 139 169 208 256 278 338 416 512 556 676 832 1024 1112 1352 1664 1807 2048 2224 2704 3328 3614 4448 5408 6656 7228 8896 10816 13312 14456 17792 19321 21632 23491 26624 28912 35584 38642 43264 46982 57824 71168 77284 86528 93964 115648 142336 154568 173056 187928 231296 251173 284672 309136 346112 375856 462592 502346 618272 751712 925184 1004692 1236544 1503424 1850368 2009384 2473088 3006848 3265249 3700736 4018768 4946176 6013696 6530498 8037536 9892352 12027392 13060996 16075072 19784704 24054784 26121992 32150144 39569408 48109568 52243984 64300288 104487968 128600576 208975936 257201152 417951872 514402304 835903744 1671807488 3343614976 6687229952