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2565224000420 = 225648119790341
BaseRepresentation
bin100101010101000011010…
…000111110101110100100
3100002020021212112002022212
4211111003100332232210
5314012034321003140
65242240404542552
7353221433144144
oct45250320765644
910066255462285
102565224000420
118a99a6089164
123551a83b1a58
13157b90509423
148c22c296924
1546ad9cb5765
hex2554343eba4

2565224000420 has 24 divisors (see below), whose sum is σ = 5387801867448. Its totient is φ = 1025931225600.

The previous prime is 2565224000389. The next prime is 2565224000461. The reversal of 2565224000420 is 240004225652.

It can be written as a sum of positive squares in 4 ways, for example, as 1503846026596 + 1061377973824 = 1226314^2 + 1030232^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9765551 + ... + 10024790.

It is an arithmetic number, because the mean of its divisors is an integer number (224491744477).

Almost surely, 22565224000420 is an apocalyptic number.

2565224000420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2565224000420 is an abundant number, since it is smaller than the sum of its proper divisors (2822577867028).

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

2565224000420 is a wasteful number, since it uses less digits than its factorization.

2565224000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19796831 (or 19796829 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The spelling of 2565224000420 in words is "two trillion, five hundred sixty-five billion, two hundred twenty-four million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 6481 12962 25924 32405 64810 129620 19790341 39580682 79161364 98951705 197903410 395806820 128261200021 256522400042 513044800084 641306000105 1282612000210 2565224000420