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6552662556 = 22311223375303
BaseRepresentation
bin1100001101001000…
…11011001000011100
3121220122222202011210
412012210123020130
5101404440200211
63002114144420
7321244466316
oct60644331034
917818882153
106552662556
112862897400
12132a582110
1380572c12b
144623927b6
152854049a6
hex18691b21c

6552662556 has 144 divisors (see below), whose sum is σ = 18013911552. Its totient is φ = 1847640960.

The previous prime is 6552662539. The next prime is 6552662561.

6552662556 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1233001 + ... + 1238303.

It is an arithmetic number, because the mean of its divisors is an integer number (125096608).

Almost surely, 26552662556 is an apocalyptic number.

6552662556 is a gapful number since it is divisible by the number (66) 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 6552662556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9006955776).

6552662556 is an abundant number, since it is smaller than the sum of its proper divisors (11461248996).

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

6552662556 is a wasteful number, since it uses less digits than its factorization.

6552662556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5392 (or 5379 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 48.

The square root of 6552662556 is about 80948.5179357843. The cubic root of 6552662556 is about 1871.2821195919.

The spelling of 6552662556 in words is "six billion, five hundred fifty-two million, six hundred sixty-two thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 23 33 37 44 46 66 69 74 92 111 121 132 138 148 222 242 253 276 363 407 444 484 506 726 759 814 851 1012 1221 1452 1518 1628 1702 2442 2553 2783 3036 3404 4477 4884 5106 5303 5566 8349 8954 9361 10212 10606 11132 13431 15909 16698 17908 18722 21212 26862 28083 31818 33396 37444 53724 56166 58333 63636 102971 112332 116666 121969 174999 196211 205942 233332 243938 308913 349998 365907 392422 411884 487876 588633 617826 641663 699996 731814 784844 1177266 1235652 1283326 1341659 1463628 1924989 2158321 2354532 2566652 2683318 3849978 4024977 4316642 4512853 5366636 6474963 7699956 8049954 8633284 9025706 12949926 13538559 14758249 16099908 18051412 23741531 25899852 27077118 29516498 44274747 47483062 49641383 54154236 59032996 71224593 88549494 94966124 99282766 142449186 148924149 177098988 198565532 284898372 297848298 546055213 595696596 1092110426 1638165639 2184220852 3276331278 6552662556