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27456794848 = 2572105116661
BaseRepresentation
bin11001100100100011…
…010111000011100000
32121212111210200202201
4121210203113003200
5422212414413343
620340302222544
71661255622400
oct314443270340
977774720681
1027456794848
111070a71039a
1253a3284a54
132787519292
14148678c800
15aaa71694d
hex6648d70e0

27456794848 has 72 divisors (see below), whose sum is σ = 62944570584. Its totient is φ = 11755296000.

The previous prime is 27456794789. The next prime is 27456794861. The reversal of 27456794848 is 84849765472.

It is a self number, because there is not a number n which added to its sum of digits gives 27456794848.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1639638 + ... + 1656298.

It is an arithmetic number, because the mean of its divisors is an integer number (874230147).

Almost surely, 227456794848 is an apocalyptic number.

27456794848 is a gapful number since it is divisible by the number (28) 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 27456794848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31472285292).

27456794848 is an abundant number, since it is smaller than the sum of its proper divisors (35487775736).

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

27456794848 is a wasteful number, since it uses less digits than its factorization.

27456794848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17736 (or 17721 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 64.

The spelling of 27456794848 in words is "twenty-seven billion, four hundred fifty-six million, seven hundred ninety-four thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1051 1568 2102 4204 7357 8408 14714 16661 16816 29428 33322 33632 51499 58856 66644 102998 116627 117712 133288 205996 233254 235424 266576 411992 466508 533152 816389 823984 933016 1632778 1647968 1866032 3265556 3732064 6531112 13062224 17510711 26124448 35021422 70042844 122574977 140085688 245149954 280171376 490299908 560342752 858024839 980599816 1716049678 1961199632 3432099356 3922399264 6864198712 13728397424 27456794848