Search a number
-
+
21780685008 = 2432238963313
BaseRepresentation
bin10100010010001110…
…101110000011010000
32002012221012102212100
4110102032232003100
5324101323410013
614001135400400
71400513524245
oct242216560320
962187172770
1021780685008
1192676a1025
12427a383100
1320915942c4
1410a89b15cc
1587725b473
hex5123ae0d0

21780685008 has 60 divisors (see below), whose sum is σ = 60982145380. Its totient is φ = 7257074688.

The previous prime is 21780684977. The next prime is 21780685009. The reversal of 21780685008 is 80058608712.

21780685008 is a `hidden beast` number, since 2 + 1 + 7 + 80 + 68 + 500 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12119367744 + 9661317264 = 110088^2 + 98292^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21780685009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 312360 + ... + 375672.

Almost surely, 221780685008 is an apocalyptic number.

It is an amenable number.

21780685008 is an abundant number, since it is smaller than the sum of its proper divisors (39201460372).

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

21780685008 is a wasteful number, since it uses less digits than its factorization.

21780685008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65716 (or 65707 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 21780685008 in words is "twenty-one billion, seven hundred eighty million, six hundred eighty-five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2389 4778 7167 9556 14334 19112 21501 28668 38224 43002 57336 63313 86004 114672 126626 172008 189939 253252 344016 379878 506504 569817 759756 1013008 1139634 1519512 2279268 3039024 4558536 9117072 151254757 302509514 453764271 605019028 907528542 1210038056 1361292813 1815057084 2420076112 2722585626 3630114168 5445171252 7260228336 10890342504 21780685008