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20112448032 = 2532659105971
BaseRepresentation
bin10010101110110010…
…111001101000100000
31220220200010012221200
4102232302321220200
5312142241314112
613123423321200
71311255662505
oct225662715040
956820105850
1020112448032
118590a52986
123a93750200
131b86a89331
14d8b1d74ac
157caa7dcdc
hex4aecb9a20

20112448032 has 72 divisors (see below), whose sum is σ = 57282104880. Its totient is φ = 6693912960.

The previous prime is 20112448021. The next prime is 20112448063. The reversal of 20112448032 is 23084421102.

20112448032 is a `hidden beast` number, since 201 + 12 + 448 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 20112447987 and 20112448005.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136807 + ... + 242777.

It is an arithmetic number, because the mean of its divisors is an integer number (795584790).

Almost surely, 220112448032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20112448032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28641052440).

20112448032 is an abundant number, since it is smaller than the sum of its proper divisors (37169656848).

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

20112448032 is a wasteful number, since it uses less digits than its factorization.

20112448032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106646 (or 106635 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 20112448032 its reverse (23084421102), we get a palindrome (43196869134).

The spelling of 20112448032 in words is "twenty billion, one hundred twelve million, four hundred forty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 659 1318 1977 2636 3954 5272 5931 7908 10544 11862 15816 21088 23724 31632 47448 63264 94896 105971 189792 211942 317913 423884 635826 847768 953739 1271652 1695536 1907478 2543304 3391072 3814956 5086608 7629912 10173216 15259824 30519648 69834889 139669778 209504667 279339556 419009334 558679112 628514001 838018668 1117358224 1257028002 1676037336 2234716448 2514056004 3352074672 5028112008 6704149344 10056224016 20112448032