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2664024312 = 233238775503
BaseRepresentation
bin1001111011001001…
…1100100011111000
320212122211110100010
42132302130203320
520423442234222
61120203141520
7123005555505
oct23662344370
96778743303
102664024312
111147854994
126242148a0
13335bcb861
141b3b4a4ac
15108d2a80c
hex9ec9c8f8

2664024312 has 64 divisors (see below), whose sum is σ = 6958817280. Its totient is φ = 848276352.

The previous prime is 2664024173. The next prime is 2664024317. The reversal of 2664024312 is 2134204662.

It is a self number, because there is not a number n which added to its sum of digits gives 2664024312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2664024317) 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 15 ways as a sum of consecutive naturals, for example, 481353 + ... + 486855.

It is an arithmetic number, because the mean of its divisors is an integer number (108731520).

Almost surely, 22664024312 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 2664024312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3479408640).

2664024312 is an abundant number, since it is smaller than the sum of its proper divisors (4294792968).

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

2664024312 is a wasteful number, since it uses less digits than its factorization.

2664024312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6412 (or 6408 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2664024312 is about 51614.1871194345. The cubic root of 2664024312 is about 1386.2643707346.

Adding to 2664024312 its reverse (2134204662), we get a palindrome (4798228974).

The spelling of 2664024312 in words is "two billion, six hundred sixty-four million, twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 877 1754 2631 3508 5262 5503 7016 10524 11006 16509 20171 21048 22012 33018 40342 44024 60513 66036 80684 121026 126569 132072 161368 242052 253138 379707 484104 506276 759414 1012552 1518828 3037656 4826131 9652262 14478393 19304524 28956786 38609048 57913572 111001013 115827144 222002026 333003039 444004052 666006078 888008104 1332012156 2664024312