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2664021312 = 263417193743
BaseRepresentation
bin1001111011001001…
…1011110101000000
320212122211022020000
42132302123311000
520423442140222
61120203120000
7123005543661
oct23662336500
96778738200
102664021312
111147852707
12624213000
13335bca394
141b3b49368
15108d299ac
hex9ec9bd40

2664021312 has 560 divisors, whose sum is σ = 9249704640. Its totient is φ = 752467968.

The previous prime is 2664021281. The next prime is 2664021337. The reversal of 2664021312 is 2131204662.

2664021312 is a `hidden beast` number, since 2 + 6 + 640 + 2 + 1 + 3 + 12 = 666.

2664021312 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 61953963 + ... + 61954005.

Almost surely, 22664021312 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 2664021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4624852320).

2664021312 is an abundant number, since it is smaller than the sum of its proper divisors (6585683328).

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

2664021312 is a wasteful number, since it uses less digits than its factorization.

2664021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2664021312 is about 51614.1580576493. The cubic root of 2664021312 is about 1386.2638503696.

Adding to 2664021312 its reverse (2131204662), we get a palindrome (4795225974).

The spelling of 2664021312 in words is "two billion, six hundred sixty-four million, twenty-one thousand, three hundred twelve".