Search a number
-
+
21441882500 = 225415754629
BaseRepresentation
bin10011111110000010…
…010010100110000100
32001100022200111012022
4103332002102212010
5322403110220000
613503353542312
71356230664653
oct237602224604
961308614168
1021441882500
119103424755
1241a4a14998
13203932ba4c
1410759bb19a
15857635585
hex4fe092984

21441882500 has 60 divisors (see below), whose sum is σ = 47188629180. Its totient is φ = 8521968000.

The previous prime is 21441882479. The next prime is 21441882557. The reversal of 21441882500 is 528814412.

It can be written as a sum of positive squares in 10 ways, for example, as 16808085316 + 4633797184 = 129646^2 + 68072^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 365186 + ... + 419814.

It is an arithmetic number, because the mean of its divisors is an integer number (786477153).

Almost surely, 221441882500 is an apocalyptic number.

21441882500 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 21441882500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23594314590).

21441882500 is an abundant number, since it is smaller than the sum of its proper divisors (25746746680).

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

21441882500 is a wasteful number, since it uses less digits than its factorization.

21441882500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54810 (or 54793 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The spelling of 21441882500 in words is "twenty-one billion, four hundred forty-one million, eight hundred eighty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 157 250 314 500 625 628 785 1250 1570 2500 3140 3925 7850 15700 19625 39250 54629 78500 98125 109258 196250 218516 273145 392500 546290 1092580 1365725 2731450 5462900 6828625 8576753 13657250 17153506 27314500 34143125 34307012 42883765 68286250 85767530 136572500 171535060 214418825 428837650 857675300 1072094125 2144188250 4288376500 5360470625 10720941250 21441882500