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2557803257856 = 213327111721559
BaseRepresentation
bin100101001110001000111…
…101000110000000000000
3100001112010201002022020200
4211032020331012000000
5313401340113222411
65235012200405200
7352536514652160
oct45161075060000
910045121068220
102557803257856
118a6838291470
12353877176800
13157279cab7b2
148bb268d65a0
154680358be56
hex25388f46000

2557803257856 has 1008 divisors, whose sum is σ = 9791990657280. Its totient is φ = 624883138560.

The previous prime is 2557803257837. The next prime is 2557803257899. The reversal of 2557803257856 is 6587523087552.

It is a happy number.

2557803257856 is a `hidden beast` number, since 2 + 5 + 5 + 7 + 8 + 0 + 3 + 2 + 578 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2557803257793 and 2557803257802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1640668405 + ... + 1640669963.

Almost surely, 22557803257856 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 2557803257856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4895995328640).

2557803257856 is an abundant number, since it is smaller than the sum of its proper divisors (7234187399424).

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

2557803257856 is a wasteful number, since it uses less digits than its factorization.

2557803257856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 141120000, while the sum is 63.

The spelling of 2557803257856 in words is "two trillion, five hundred fifty-seven billion, eight hundred three million, two hundred fifty-seven thousand, eight hundred fifty-six".