Search a number
-
+
19118873119920 = 243572231972231609
BaseRepresentation
bin1000101100011011101011…
…01001000000110010110000
32111200202011010210020210220
410112031311221000302300
510001220423004314140
6104355031123053040
74012202333066400
oct426156551006260
974622133706726
1019118873119920
1161012a54a2612
122189447b11180
13a88b958cca12
144a1503622800
152324d46cebd0
hex116375a40cb0

19118873119920 has 960 divisors, whose sum is σ = 72677188362240. Its totient is φ = 4137586016256.

The previous prime is 19118873119891. The next prime is 19118873119933. The reversal of 19118873119920 is 2991137881191.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 11882456076 + ... + 11882457684.

It is an arithmetic number, because the mean of its divisors is an integer number (75705404544).

Almost surely, 219118873119920 is an apocalyptic number.

19118873119920 is a gapful number since it is divisible by the number (10) 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 19118873119920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36338594181120).

19118873119920 is an abundant number, since it is smaller than the sum of its proper divisors (53558315242320).

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

19118873119920 is a wasteful number, since it uses less digits than its factorization.

19118873119920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 60.

The spelling of 19118873119920 in words is "nineteen trillion, one hundred eighteen billion, eight hundred seventy-three million, one hundred nineteen thousand, nine hundred twenty".