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21945072048 = 2431973932561
BaseRepresentation
bin10100011100000001…
…110011100110110000
32002122101112011111020
4110130001303212300
5324420414301143
614025331015440
71404551014614
oct243401634660
962571464436
1021945072048
11934146a489
12430543a580
1320b965c843
1410c2763344
158868cd883
hex51c0739b0

21945072048 has 80 divisors (see below), whose sum is σ = 59757782400. Its totient is φ = 6920432640.

The previous prime is 21945071987. The next prime is 21945072049. The reversal of 21945072048 is 84027054912.

It is not an unprimeable number, because it can be changed into a prime (21945072049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 657688 + ... + 690248.

It is an arithmetic number, because the mean of its divisors is an integer number (746972280).

Almost surely, 221945072048 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 21945072048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29878891200).

21945072048 is an abundant number, since it is smaller than the sum of its proper divisors (37812710352).

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

21945072048 is a wasteful number, since it uses less digits than its factorization.

21945072048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33330 (or 33324 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 21945072048 in words is "twenty-one billion, nine hundred forty-five million, seventy-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 739 912 1478 2217 2956 4434 5912 8868 11824 14041 17736 28082 32561 35472 42123 56164 65122 84246 97683 112328 130244 168492 195366 224656 260488 336984 390732 520976 618659 673968 781464 1237318 1562928 1855977 2474636 3711954 4949272 7423908 9898544 14847816 24062579 29695632 48125158 72187737 96250316 144375474 192500632 288750948 385001264 457189001 577501896 914378002 1155003792 1371567003 1828756004 2743134006 3657512008 5486268012 7315024016 10972536024 21945072048