Search a number
-
+
19551989622816 = 253472375997727
BaseRepresentation
bin1000111001000010011010…
…11001010110100000100000
32120020011002202220021110000
410130201031121112200200
510030314433320412231
6105330020544540000
74055404346446500
oct434411531264040
976204082807400
1019551989622816
116258a52471772
122239381921600
13aba98b1888b1
144b846dac1a00
1523d8d360a6e6
hex11c84d656820

19551989622816 has 1440 divisors, whose sum is σ = 70679436347520. Its totient is φ = 5280820199424.

The previous prime is 19551989622811. The next prime is 19551989622821. The reversal of 19551989622816 is 61822698915591.

19551989622816 is a `hidden beast` number, since 1 + 9 + 5 + 519 + 8 + 9 + 6 + 22 + 81 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (19551989622811) and next prime (19551989622821).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (19551989622811) 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 239 ways as a sum of consecutive naturals, for example, 26894070645 + ... + 26894071371.

It is an arithmetic number, because the mean of its divisors is an integer number (49082941908).

Almost surely, 219551989622816 is an apocalyptic number.

19551989622816 is a gapful number since it is divisible by the number (16) 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 19551989622816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35339718173760).

19551989622816 is an abundant number, since it is smaller than the sum of its proper divisors (51127446724704).

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

19551989622816 is a wasteful number, since it uses less digits than its factorization.

19551989622816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 932 counting only the distinct ones).

The product of its digits is 167961600, while the sum is 72.

The spelling of 19551989622816 in words is "nineteen trillion, five hundred fifty-one billion, nine hundred eighty-nine million, six hundred twenty-two thousand, eight hundred sixteen".