Search a number
-
+
21624163215400 = 2352108120816077
BaseRepresentation
bin1001110101010110001001…
…00100010010100000101000
32211120020202010002111202201
410322223010210102200220
510313242241240343100
6113554000424305544
74361202631410034
oct472530444224050
984506663074681
1021624163215400
116987835437929
122512aa86122b4
13c0b1c4281265
1454a887b0d1c4
1527776294b36a
hex13aac4912828

21624163215400 has 24 divisors (see below), whose sum is σ = 50276179476270. Its totient is φ = 8649665286080.

The previous prime is 21624163215373. The next prime is 21624163215409. The reversal of 21624163215400 is 451236142612.

21624163215400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 18762429359844 + 2861733855556 = 4331562^2 + 1691666^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21624163215400.

It is not an unprimeable number, because it can be changed into a prime (21624163215409) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 54060407839 + ... + 54060408238.

Almost surely, 221624163215400 is an apocalyptic number.

21624163215400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21624163215400 is an abundant number, since it is smaller than the sum of its proper divisors (28652016260870).

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

21624163215400 is a wasteful number, since it uses less digits than its factorization.

21624163215400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108120816093 (or 108120816084 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 21624163215400 in words is "twenty-one trillion, six hundred twenty-four billion, one hundred sixty-three million, two hundred fifteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 108120816077 216241632154 432483264308 540604080385 864966528616 1081208160770 2162416321540 2703020401925 4324832643080 5406040803850 10812081607700 21624163215400