Search a number
-
+
20096499171840 = 2935721326915271
BaseRepresentation
bin1001001000111000101001…
…01100011100001000000000
32122011012120120200100111020
410210130110230130020000
510113230112241444330
6110424112042145440
74142631661321200
oct444342454341000
978135516610436
1020096499171840
116448971960123
122306a04ab2280
13b2a126726c10
144d6966386400
1524cb51a9d210
hex124714b1c200

20096499171840 has 960 divisors, whose sum is σ = 80788481706240. Its totient is φ = 4224101253120.

The previous prime is 20096499171803. The next prime is 20096499171883. The reversal of 20096499171840 is 4817199469002.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1315983405 + ... + 1315998675.

It is an arithmetic number, because the mean of its divisors is an integer number (84154668444).

Almost surely, 220096499171840 is an apocalyptic number.

20096499171840 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 20096499171840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40394240853120).

20096499171840 is an abundant number, since it is smaller than the sum of its proper divisors (60691982534400).

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

20096499171840 is a wasteful number, since it uses less digits than its factorization.

20096499171840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15593 (or 15570 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 60.

The spelling of 20096499171840 in words is "twenty trillion, ninety-six billion, four hundred ninety-nine million, one hundred seventy-one thousand, eight hundred forty".