Search a number
-
+
20652405642 = 232111947116803
BaseRepresentation
bin10011001110111110…
…101011001110001010
31222022022010220112200
4103032332223032022
5314244003440032
613253152421030
71330533360111
oct231676531612
958268126480
1020652405642
118838821040
124004547776
131c418c188b
14ddcbd0c78
1580d18b47c
hex4cefab38a

20652405642 has 96 divisors (see below), whose sum is σ = 52477701120. Its totient is φ = 5802723360.

The previous prime is 20652405637. The next prime is 20652405701. The reversal of 20652405642 is 24650425602.

20652405642 is a `hidden beast` number, since 2 + 0 + 6 + 5 + 2 + 4 + 0 + 5 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20652405597 and 20652405606.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118413 + ... + 235215.

It is an arithmetic number, because the mean of its divisors is an integer number (546642720).

Almost surely, 220652405642 is an apocalyptic number.

20652405642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20652405642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26238850560).

20652405642 is an abundant number, since it is smaller than the sum of its proper divisors (31825295478).

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

20652405642 is a wasteful number, since it uses less digits than its factorization.

20652405642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116888 (or 116885 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 20652405642 in words is "twenty billion, six hundred fifty-two million, four hundred five thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 47 57 66 94 99 114 141 171 198 209 282 342 418 423 517 627 846 893 1034 1254 1551 1786 1881 2679 3102 3762 4653 5358 8037 9306 9823 16074 19646 29469 58938 88407 116803 176814 233606 350409 700818 1051227 1284833 2102454 2219257 2569666 3854499 4438514 5489741 6657771 7708998 10979482 11563497 13315542 16469223 19973313 23126994 24411827 32938446 39946626 48823654 49407669 60387151 73235481 98815338 104305079 120774302 146470962 181161453 208610158 219706443 312915237 362322906 439412886 543484359 625830474 938745711 1086968718 1147355869 1877491422 2294711738 3442067607 6884135214 10326202821 20652405642