Search a number
-
+
21361482816 = 263412713603
BaseRepresentation
bin10011111001001111…
…100101110001000000
32001010201101202120020
4103321033211301000
5322222014422231
613451402413440
71354233415362
oct237117456100
961121352506
1021361482816
119072000233
124181b01280
13202578b77b
14106904cd32
15850553396
hex4f93e5c40

21361482816 has 56 divisors (see below), whose sum is σ = 57897454944. Its totient is φ = 6946821120.

The previous prime is 21361482803. The next prime is 21361482827. The reversal of 21361482816 is 61828416312.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1348930 + ... + 1364673.

It is an arithmetic number, because the mean of its divisors is an integer number (1033883124).

Almost surely, 221361482816 is an apocalyptic number.

It is an amenable number.

21361482816 is an abundant number, since it is smaller than the sum of its proper divisors (36535972128).

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

21361482816 is a wasteful number, since it uses less digits than its factorization.

21361482816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713659 (or 2713649 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The spelling of 21361482816 in words is "twenty-one billion, three hundred sixty-one million, four hundred eighty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1968 2624 3936 7872 2713603 5427206 8140809 10854412 16281618 21708824 32563236 43417648 65126472 86835296 111257723 130252944 173670592 222515446 260505888 333773169 445030892 521011776 667546338 890061784 1335092676 1780123568 2670185352 3560247136 5340370704 7120494272 10680741408 21361482816