Search a number
-
+
21788416890 = 2325641377681
BaseRepresentation
bin10100010010101100…
…001101101101111010
32002020110202021000100
4110102230031231322
5324110313320030
614002013220230
71400636326212
oct242254155572
962213667010
1021788416890
119270aa2109
124280a91676
132093070696
1410a9a25242
15877c87360
hex512b0db7a

21788416890 has 48 divisors (see below), whose sum is σ = 56738411496. Its totient is φ = 5801164800.

The previous prime is 21788416889. The next prime is 21788416891. The reversal of 21788416890 is 9861488712.

21788416890 is a `hidden beast` number, since 217 + 8 + 8 + 416 + 8 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21788416889) and next prime (21788416891).

It can be written as a sum of positive squares in 4 ways, for example, as 19667538081 + 2120878809 = 140241^2 + 46053^2 .

It is a super-2 number, since 2×217884168902 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21788416891) 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, 131151 + ... + 246530.

Almost surely, 221788416890 is an apocalyptic number.

21788416890 is an abundant number, since it is smaller than the sum of its proper divisors (34949994606).

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

21788416890 is a wasteful number, since it uses less digits than its factorization.

21788416890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378335 (or 378332 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 21788416890 in words is "twenty-one billion, seven hundred eighty-eight million, four hundred sixteen thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 641 1282 1923 3205 3846 5769 6410 9615 11538 19230 28845 57690 377681 755362 1133043 1888405 2266086 3399129 3776810 5665215 6798258 11330430 16995645 33991290 242093521 484187042 726280563 1210467605 1452561126 2178841689 2420935210 3631402815 4357683378 7262805630 10894208445 21788416890