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6660264400 = 245231353197
BaseRepresentation
bin1100011001111101…
…11001000111010000
3122012011110111011021
412030332321013100
5102120011430100
63020520325224
7324022212316
oct61476710720
918164414137
106660264400
112908600249
12135a613814
13821b04a6a
144727a20b6
1528eaaba1a
hex18cfb91d0

6660264400 has 60 divisors (see below), whose sum is σ = 16052709292. Its totient is φ = 2655544320.

The previous prime is 6660264379. The next prime is 6660264407. The reversal of 6660264400 is 44620666.

It can be written as a sum of positive squares in 6 ways, for example, as 972691344 + 5687573056 = 31188^2 + 75416^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6660264407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98602 + ... + 151798.

Almost surely, 26660264400 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 6660264400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8026354646).

6660264400 is an abundant number, since it is smaller than the sum of its proper divisors (9392444892).

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

6660264400 is a wasteful number, since it uses less digits than its factorization.

6660264400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53528 (or 53517 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 6660264400 is about 81610.4429592194. The cubic root of 6660264400 is about 1881.4693884384.

The spelling of 6660264400 in words is "six billion, six hundred sixty million, two hundred sixty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 313 400 626 1252 1565 2504 3130 5008 6260 7825 12520 15650 25040 31300 53197 62600 106394 125200 212788 265985 425576 531970 851152 1063940 1329925 2127880 2659850 4255760 5319700 10639400 16650661 21278800 33301322 66602644 83253305 133205288 166506610 266410576 333013220 416266525 666026440 832533050 1332052880 1665066100 3330132200 6660264400