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28218851568 = 24323733116001
BaseRepresentation
bin11010010001111110…
…011000000011110000
32200211121202012001200
4122101332120003300
5430243011222233
620544043531200
72016201165165
oct322176300360
980747665050
1028218851568
1110a70895936
125576529b00
13287937580b
141519a7c06c
15b02596313
hex691f980f0

28218851568 has 120 divisors (see below), whose sum is σ = 81358136496. Its totient is φ = 9123840000.

The previous prime is 28218851561. The next prime is 28218851569. The reversal of 28218851568 is 86515881282.

28218851568 is a `hidden beast` number, since 2 + 8 + 21 + 8 + 8 + 51 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28218851561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1755568 + ... + 1771568.

Almost surely, 228218851568 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 28218851568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40679068248).

28218851568 is an abundant number, since it is smaller than the sum of its proper divisors (53139284928).

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

28218851568 is a wasteful number, since it uses less digits than its factorization.

28218851568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16383 (or 16374 counting only the distinct ones).

The product of its digits is 2457600, while the sum is 54.

The spelling of 28218851568 in words is "twenty-eight billion, two hundred eighteen million, eight hundred fifty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 331 333 444 592 662 666 888 993 1324 1332 1776 1986 2648 2664 2979 3972 5296 5328 5958 7944 11916 12247 15888 16001 23832 24494 32002 36741 47664 48003 48988 64004 73482 96006 97976 110223 128008 144009 146964 192012 195952 220446 256016 288018 293928 384024 440892 576036 587856 592037 768048 881784 1152072 1184074 1763568 1776111 2304144 2368148 3552222 4736296 5296331 5328333 7104444 9472592 10592662 10656666 14208888 15888993 21185324 21313332 28417776 31777986 42370648 42626664 47666979 63555972 84741296 85253328 95333958 127111944 190667916 195964247 254223888 381335832 391928494 587892741 762671664 783856988 1175785482 1567713976 1763678223 2351570964 3135427952 3527356446 4703141928 7054712892 9406283856 14109425784 28218851568