Search a number
-
+
19621242997200 = 24335213139752443
BaseRepresentation
bin1000111011000011011010…
…01110000000100111010000
32120110202212011100012112000
410131201231032000213100
510032433301201402300
6105421512525034000
74063405456433205
oct435415516004720
976422764305460
1019621242997200
116285360168979
12224a88a6b5900
13ac4376a1a630
144bb95d4a3cac
152405d83d8c00
hex11d86d3809d0

19621242997200 has 240 divisors, whose sum is σ = 75209175263040. Its totient is φ = 4829844395520.

The previous prime is 19621242997199. The next prime is 19621242997201. The reversal of 19621242997200 is 279924212691.

It is a happy number.

19621242997200 is a `hidden beast` number, since 1 + 9 + 6 + 2 + 1 + 2 + 429 + 9 + 7 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (19621242997199) and next prime (19621242997201).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19621242997201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69735822 + ... + 70016621.

It is an arithmetic number, because the mean of its divisors is an integer number (313371563596).

Almost surely, 219621242997200 is an apocalyptic number.

19621242997200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19621242997200 is an abundant number, since it is smaller than the sum of its proper divisors (55587932265840).

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

19621242997200 is a wasteful number, since it uses less digits than its factorization.

19621242997200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139752483 (or 139752466 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 19621242997200 in words is "nineteen trillion, six hundred twenty-one billion, two hundred forty-two million, nine hundred ninety-seven thousand, two hundred".