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2742897999440 = 24534286224993
BaseRepresentation
bin100111111010100001011…
…101011111111001010000
3100201012220021111102002002
4213322201131133321100
5324414423341440230
65500023035213132
7402111366211244
oct47724135377120
910635807442062
102742897999440
11968290460385
12383712ba71a8
1316b8672a3b21
1496a851b6424
154b5381b3545
hex27ea175fe50

2742897999440 has 20 divisors (see below), whose sum is σ = 6377237848884. Its totient is φ = 1097159199744.

The previous prime is 2742897999421. The next prime is 2742897999449. The reversal of 2742897999440 is 449997982472.

It can be written as a sum of positive squares in 2 ways, for example, as 310021785616 + 2432876213824 = 556796^2 + 1559768^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742897999449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17143112417 + ... + 17143112576.

Almost surely, 22742897999440 is an apocalyptic number.

2742897999440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2742897999440 is an abundant number, since it is smaller than the sum of its proper divisors (3634339849444).

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

2742897999440 is a wasteful number, since it uses less digits than its factorization.

2742897999440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34286225006 (or 34286225000 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 74.

The spelling of 2742897999440 in words is "two trillion, seven hundred forty-two billion, eight hundred ninety-seven million, nine hundred ninety-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 34286224993 68572449986 137144899972 171431124965 274289799944 342862249930 548579599888 685724499860 1371448999720 2742897999440