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2556857664 = 26351719509
BaseRepresentation
bin1001100001100110…
…1000110101000000
320121012011211100000
42120121220311000
520214023421124
61101414200000
7120234634344
oct23031506500
96535154300
102556857664
1110a2309009
125b4353000
1331994903a
141a3811624
15ee70c6c9
hex98668d40

2556857664 has 336 divisors, whose sum is σ = 8487460800. Its totient is φ = 758439936.

The previous prime is 2556857663. The next prime is 2556857707. The reversal of 2556857664 is 4667586552.

2556857664 is a `hidden beast` number, since 2 + 5 + 5 + 6 + 8 + 576 + 64 = 666.

It is a super-2 number, since 2×25568576642 = 13075042227911073792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2556857664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2556857663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5023042 + ... + 5023550.

It is an arithmetic number, because the mean of its divisors is an integer number (25260300).

Almost surely, 22556857664 is an apocalyptic number.

2556857664 is a gapful number since it is divisible by the number (24) 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 2556857664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4243730400).

2556857664 is an abundant number, since it is smaller than the sum of its proper divisors (5930603136).

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

2556857664 is a wasteful number, since it uses less digits than its factorization.

2556857664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 550 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The square root of 2556857664 is about 50565.3800934988. The cubic root of 2556857664 is about 1367.4208074440.

The spelling of 2556857664 in words is "two billion, five hundred fifty-six million, eight hundred fifty-seven thousand, six hundred sixty-four".