Search a number
-
+
21302732736 = 2632181204331
BaseRepresentation
bin10011110101101111…
…011110011111000000
32000222121211221121100
4103311233132133000
5322111444421421
613441503254400
71352621145345
oct236557363700
960877757540
1021302732736
11904192344a
1241662aa400
13201655b6cc
1410613187cc
1584a2eac26
hex4f5bde7c0

21302732736 has 84 divisors (see below), whose sum is σ = 61398088024. Its totient is φ = 7061644800.

The previous prime is 21302732729. The next prime is 21302732771. The reversal of 21302732736 is 63723720312.

21302732736 is a `hidden beast` number, since 21 + 302 + 7 + 327 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 21302732736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2091 + ... + 206421.

Almost surely, 221302732736 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 21302732736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30699044012).

21302732736 is an abundant number, since it is smaller than the sum of its proper divisors (40095355288).

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

21302732736 is a wasteful number, since it uses less digits than its factorization.

21302732736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204530 (or 204517 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The spelling of 21302732736 in words is "twenty-one billion, three hundred two million, seven hundred thirty-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 181 192 288 362 543 576 724 1086 1448 1629 2172 2896 3258 4344 5792 6516 8688 11584 13032 17376 26064 34752 52128 104256 204331 408662 612993 817324 1225986 1634648 1838979 2451972 3269296 3677958 4903944 6538592 7355916 9807888 13077184 14711832 19615776 29423664 36983911 39231552 58847328 73967822 110951733 117694656 147935644 221903466 295871288 332855199 443806932 591742576 665710398 887613864 1183485152 1331420796 1775227728 2366970304 2662841592 3550455456 5325683184 7100910912 10651366368 21302732736