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2664228672 = 2635724473
BaseRepresentation
bin1001111011001100…
…1110011101000000
320212200012211200000
42132303032131000
520424020304142
61120211400000
7123010366350
oct23663163500
96780184600
102664228672
111147984486
126242b3000
13335c70891
141b3ba0b60
15108d6b14c
hex9ecce740

2664228672 has 168 divisors, whose sum is σ = 9051072576. Its totient is φ = 761177088.

The previous prime is 2664228607. The next prime is 2664228673. The reversal of 2664228672 is 2768224662.

2664228672 is a `hidden beast` number, since 266 + 42 + 286 + 72 = 666.

2664228672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×26642286722 = 14196228833413767168, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2664228673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96628 + ... + 121100.

It is an arithmetic number, because the mean of its divisors is an integer number (53875432).

Almost surely, 22664228672 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 2664228672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4525536288).

2664228672 is an abundant number, since it is smaller than the sum of its proper divisors (6386843904).

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

2664228672 is an equidigital number, since it uses as much as digits as its factorization.

2664228672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24507 (or 24485 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 2664228672 is about 51616.1667697244. The cubic root of 2664228672 is about 1386.2998170757.

The spelling of 2664228672 in words is "two billion, six hundred sixty-four million, two hundred twenty-eight thousand, six hundred seventy-two".