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2561572423872 = 26377112173141
BaseRepresentation
bin100101010001101001100…
…111010100100011000000
3100001212212101102210000000
4211101221213110203000
5313432100020030442
65240434203000000
7353032103230320
oct45215147244300
910055771383000
102561572423872
118a83a1942700
12354549509000
1315772ab3b447
148bda331d280
1546974416d4c
hex254699d48c0

2561572423872 has 2688 divisors, whose sum is σ = 10722374369280. Its totient is φ = 591224832000.

The previous prime is 2561572423801. The next prime is 2561572423897. The reversal of 2561572423872 is 2783242751652.

2561572423872 is a `hidden beast` number, since 2 + 5 + 6 + 15 + 7 + 242 + 387 + 2 = 666.

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

Its product of digits (11289600) is a multiple of the sum of its prime divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 62477376172 + ... + 62477376212.

It is an arithmetic number, because the mean of its divisors is an integer number (3988978560).

Almost surely, 22561572423872 is an apocalyptic number.

2561572423872 is a gapful number since it is divisible by the number (22) 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 2561572423872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5361187184640).

2561572423872 is an abundant number, since it is smaller than the sum of its proper divisors (8160801945408).

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

2561572423872 is a wasteful number, since it uses less digits than its factorization.

2561572423872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 112 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 2561572423872 in words is "two trillion, five hundred sixty-one billion, five hundred seventy-two million, four hundred twenty-three thousand, eight hundred seventy-two".