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2545274050560 = 211335113257317
BaseRepresentation
bin100101000010011110001…
…001111101100000000000
3100000022210112011121222000
4211002132021331200000
5313200210124104220
65225141024144000
7351614156314053
oct45023611754000
910008715147860
102545274050560
118a149893459a
1235135b168000
13156031306977
148b2988bca9a
154631d634390
hex2509e27d800

2545274050560 has 768 divisors, whose sum is σ = 9192144124800. Its totient is φ = 668001632256.

The previous prime is 2545274050537. The next prime is 2545274050573. The reversal of 2545274050560 is 650504725452.

2545274050560 is a `hidden beast` number, since 2 + 5 + 45 + 2 + 7 + 40 + 5 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8029255522 + ... + 8029255838.

Almost surely, 22545274050560 is an apocalyptic number.

2545274050560 is a gapful number since it is divisible by the number (20) 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 2545274050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596072062400).

2545274050560 is an abundant number, since it is smaller than the sum of its proper divisors (6646870074240).

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

2545274050560 is a wasteful number, since it uses less digits than its factorization.

2545274050560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 45.

The spelling of 2545274050560 in words is "two trillion, five hundred forty-five billion, two hundred seventy-four million, fifty thousand, five hundred sixty".