Search a number
-
+
20441089088 = 267131379919
BaseRepresentation
bin10011000010011000…
…100100010001000000
31221202120111220201122
4103002120210101000
5313330404322323
613220203251412
71322356250630
oct230230442100
957676456648
1020441089088
11873a509862
123b65819b68
131c09ba46b4
14dbcb046c0
157e9848ec8
hex4c2624440

20441089088 has 112 divisors (see below), whose sum is σ = 46885555200. Its totient is φ = 8661219840.

The previous prime is 20441089049. The next prime is 20441089091. The reversal of 20441089088 is 88098014402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22242293 + ... + 22243211.

Almost surely, 220441089088 is an apocalyptic number.

20441089088 is a gapful number since it is divisible by the number (28) 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 20441089088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23442777600).

20441089088 is an abundant number, since it is smaller than the sum of its proper divisors (26444466112).

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

20441089088 is a wasteful number, since it uses less digits than its factorization.

20441089088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 44.

The spelling of 20441089088 in words is "twenty billion, four hundred forty-one million, eighty-nine thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 131 224 262 379 448 524 758 917 919 1048 1516 1834 1838 2096 2653 3032 3668 3676 4192 5306 6064 6433 7336 7352 8384 10612 12128 12866 14672 14704 21224 24256 25732 29344 29408 42448 49649 51464 58688 58816 84896 99298 102928 120389 169792 198596 205856 240778 347543 348301 397192 411712 481556 695086 696602 794384 842723 963112 1390172 1393204 1588768 1685446 1926224 2438107 2780344 2786408 3177536 3370892 3852448 4876214 5560688 5572816 6741784 7704896 9752428 11121376 11145632 13483568 19504856 22242752 22291264 26967136 39009712 45627431 53934272 78019424 91254862 156038848 182509724 319392017 365019448 638784034 730038896 1277568068 1460077792 2555136136 2920155584 5110272272 10220544544 20441089088