Search a number
-
+
21080549044800 = 2632527415100791
BaseRepresentation
bin1001100101100001100101…
…01000110011001001000000
32202122021120201010101000100
410302300302220303021000
510230340431023413200
6112500134234122400
74304006441245140
oct462606250631100
982567521111010
1021080549044800
116798235404543
122445675280400
13b9bb6c37bb5b
1452c438320920
15268547dc0d00
hex132c32a33240

21080549044800 has 504 divisors, whose sum is σ = 87717381478272. Its totient is φ = 4700888064000.

The previous prime is 21080549044799. The next prime is 21080549044861. The reversal of 21080549044800 is 844094508012.

21080549044800 is a `hidden beast` number, since 2 + 1 + 0 + 80 + 5 + 4 + 90 + 4 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 1582405 + ... + 6683195.

It is an arithmetic number, because the mean of its divisors is an integer number (174042423568).

Almost surely, 221080549044800 is an apocalyptic number.

21080549044800 is a gapful number since it is divisible by the number (20) 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 21080549044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43858690739136).

21080549044800 is an abundant number, since it is smaller than the sum of its proper divisors (66636832433472).

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

21080549044800 is a wasteful number, since it uses less digits than its factorization.

21080549044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5100867 (or 5100849 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 21080549044800 in words is "twenty-one trillion, eighty billion, five hundred forty-nine million, forty-four thousand, eight hundred".