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2704645387680 = 25355634677891
BaseRepresentation
bin100111010110111001011…
…011010111010110100000
3100120120011101110101121120
4213112321123113112200
5323303103204401210
65430255201052240
7366255430321635
oct47267133272640
910516141411546
102704645387680
119530408a1a55
12378218327080
1316807c250502
1494c96b0818c
154a549ce1270
hex275b96d75a0

2704645387680 has 48 divisors (see below), whose sum is σ = 8519632972704. Its totient is φ = 721238769920.

The previous prime is 2704645387673. The next prime is 2704645387699. The reversal of 2704645387680 is 867835464072.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2817338466 + ... + 2817339425.

It is an arithmetic number, because the mean of its divisors is an integer number (177492353598).

Almost surely, 22704645387680 is an apocalyptic number.

2704645387680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2704645387680 is an abundant number, since it is smaller than the sum of its proper divisors (5814987585024).

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

2704645387680 is a wasteful number, since it uses less digits than its factorization.

2704645387680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5634677909 (or 5634677901 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 60.

The spelling of 2704645387680 in words is "two trillion, seven hundred four billion, six hundred forty-five million, three hundred eighty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 5634677891 11269355782 16904033673 22538711564 28173389455 33808067346 45077423128 56346778910 67616134692 84520168365 90154846256 112693557820 135232269384 169040336730 180309692512 225387115640 270464538768 338080673460 450774231280 540929077536 676161346920 901548462560 1352322693840 2704645387680