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6452662656 = 2731119374153
BaseRepresentation
bin1100000001001101…
…11101000110000000
3121122200211020002210
412000212331012000
5101203340201111
62544142542120
7315621504366
oct60046750600
917580736083
106452662656
1128113a5a60
121300b97940
137baab86ab
14452da1636
1527b7500a6
hex1809bd180

6452662656 has 512 divisors, whose sum is σ = 21097843200. Its totient is φ = 1725235200.

The previous prime is 6452662651. The next prime is 6452662663. The reversal of 6452662656 is 6562662546.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6452662651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121748326 + ... + 121748378.

It is an arithmetic number, because the mean of its divisors is an integer number (41206725).

Almost surely, 26452662656 is an apocalyptic number.

6452662656 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 6452662656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10548921600).

6452662656 is an abundant number, since it is smaller than the sum of its proper divisors (14645180544).

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

6452662656 is a wasteful number, since it uses less digits than its factorization.

6452662656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 166 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 48.

The square root of 6452662656 is about 80328.4672827759. The cubic root of 6452662656 is about 1861.7140956789.

The spelling of 6452662656 in words is "six billion, four hundred fifty-two million, six hundred sixty-two thousand, six hundred fifty-six".