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2572045056 = 28337175359
BaseRepresentation
bin1001100101001110…
…0100101100000000
320122020202102112000
42121103210230000
520231420420211
61103115504000
7120511010430
oct23123445400
96566672460
102572045056
1110aa941579
125b9458000
1331cb35a69
141a58462c0
15100c0c656
hex994e4b00

2572045056 has 576 divisors, whose sum is σ = 9536486400. Its totient is φ = 667090944.

The previous prime is 2572045051. The next prime is 2572045097. The reversal of 2572045056 is 6505402752.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2572045056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2572045051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43593955 + ... + 43594013.

It is an arithmetic number, because the mean of its divisors is an integer number (16556400).

Almost surely, 22572045056 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 2572045056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4768243200).

2572045056 is an abundant number, since it is smaller than the sum of its proper divisors (6964441344).

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

2572045056 is a wasteful number, since it uses less digits than its factorization.

2572045056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 2572045056 is about 50715.3335392759. Note that the first 3 decimals coincide. The cubic root of 2572045056 is about 1370.1228966065.

The spelling of 2572045056 in words is "two billion, five hundred seventy-two million, forty-five thousand, fifty-six".