Search a number
-
+
21847868928 = 2932371271009
BaseRepresentation
bin10100010110001111…
…000000011000000000
32002101121121201212200
4110112033000120000
5324221023301203
614011535353200
71402260551604
oct242617003000
962347551780
1021847868928
1192a1609326
124298982800
1320a24880c2
1410b389d504
1587d0cc9a3
hex5163c0600

21847868928 has 240 divisors, whose sum is σ = 65333199360. Its totient is φ = 7023034368.

The previous prime is 21847868927. The next prime is 21847868929. The reversal of 21847868928 is 82986874812.

21847868928 is a `hidden beast` number, since 2 + 18 + 478 + 68 + 92 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (21847868927) and next prime (21847868929).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21847868927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21652488 + ... + 21653496.

It is an arithmetic number, because the mean of its divisors is an integer number (272221664).

Almost surely, 221847868928 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 21847868928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32666599680).

21847868928 is an abundant number, since it is smaller than the sum of its proper divisors (43485330432).

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

21847868928 is a wasteful number, since it uses less digits than its factorization.

21847868928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1178 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 63.

The spelling of 21847868928 in words is "twenty-one billion, eight hundred forty-seven million, eight hundred sixty-eight thousand, nine hundred twenty-eight".