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27438780340 = 2257011957117
BaseRepresentation
bin11001100011011110…
…101000111110110100
32121211020220110111201
4121203132220332310
5422143311432330
620334420142244
71660646533066
oct314336507664
977736813451
1027438780340
1110700526874
125399237984
13278387c7ca
14148421d736
15aa8d58eca
hex6637a8fb4

27438780340 has 24 divisors (see below), whose sum is σ = 57703667112. Its totient is φ = 10959849600.

The previous prime is 27438780329. The next prime is 27438780349. The reversal of 27438780340 is 4308783472.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3883283856 + 23555496484 = 62316^2 + 153478^2 .

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27438780349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 964539 + ... + 992578.

It is an arithmetic number, because the mean of its divisors is an integer number (2404319463).

Almost surely, 227438780340 is an apocalyptic number.

27438780340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27438780340 is an abundant number, since it is smaller than the sum of its proper divisors (30264886772).

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

27438780340 is a wasteful number, since it uses less digits than its factorization.

27438780340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957827 (or 1957825 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 46.

The spelling of 27438780340 in words is "twenty-seven billion, four hundred thirty-eight million, seven hundred eighty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 701 1402 2804 3505 7010 14020 1957117 3914234 7828468 9785585 19571170 39142340 1371939017 2743878034 5487756068 6859695085 13719390170 27438780340