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2566057060008 = 23321331743319973
BaseRepresentation
bin100101010101110100111…
…010110110011010101000
3100002022102221001220020200
4211111310322312122220
5314020241101410013
65242455204152200
7353251200061251
oct45256472663250
910068387056220
102566057060008
118aa29334a162
1235539b398660
13157c93c95ab0
148c2aab89b28
1546b37ebce73
hex25574eb66a8

2566057060008 has 192 divisors, whose sum is σ = 7525659108240. Its totient is φ = 785208287232.

The previous prime is 2566057059971. The next prime is 2566057060009. The reversal of 2566057060008 is 8000607506652.

It can be written as a sum of positive squares in 8 ways, for example, as 2862464004 + 2563194596004 = 53502^2 + 1600998^2 .

It is not an unprimeable number, because it can be changed into a prime (2566057060009) 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, 128466310 + ... + 128486282.

Almost surely, 22566057060008 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 2566057060008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762829554120).

2566057060008 is an abundant number, since it is smaller than the sum of its proper divisors (4959602048232).

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

2566057060008 is a wasteful number, since it uses less digits than its factorization.

2566057060008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20748 (or 20741 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 2566057060008 in words is "two trillion, five hundred sixty-six billion, fifty-seven million, sixty thousand, eight".