Search a number
-
+
19774921243392 = 2833717233103183
BaseRepresentation
bin1000111111100001101010…
…01001111111101100000000
32121000110112021001222121000
410133300311021333230000
510042443014314242032
6110020250131132000
74110455661116250
oct437606511775400
977013467058530
1019774921243392
116334551568907
122274619144000
13b059c8344c13
144c517b571960
152445ced83e7c
hex11fc3527fb00

19774921243392 has 576 divisors, whose sum is σ = 71067592028160. Its totient is φ = 5294752137216.

The previous prime is 19774921243303. The next prime is 19774921243421. The reversal of 19774921243392 is 29334212947791.

19774921243392 is a `hidden beast` number, since 1 + 9 + 7 + 7 + 492 + 1 + 24 + 33 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 191597433 + ... + 191700615.

It is an arithmetic number, because the mean of its divisors is an integer number (123381236160).

Almost surely, 219774921243392 is an apocalyptic number.

19774921243392 is a gapful number since it is divisible by the number (12) 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 19774921243392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35533796014080).

19774921243392 is an abundant number, since it is smaller than the sum of its proper divisors (51292670784768).

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

19774921243392 is a wasteful number, since it uses less digits than its factorization.

19774921243392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103465 (or 103445 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The spelling of 19774921243392 in words is "nineteen trillion, seven hundred seventy-four billion, nine hundred twenty-one million, two hundred forty-three thousand, three hundred ninety-two".