Search a number
-
+
20652083536338 = 23217211319860043
BaseRepresentation
bin1001011001000011100000…
…00110100110000111010010
32201010022122012200100022100
410230201300012212013102
510201330431341130323
6111531234115221230
74231030611436422
oct454416006460722
981108565610270
1020652083536338
116642554837341
122396618ba7816
13b6a6385561a7
145157cd834482
1525c31c45c943
hex12c8701a61d2

20652083536338 has 48 divisors (see below), whose sum is σ = 47602851188256. Its totient is φ = 6448378446720.

The previous prime is 20652083536333. The next prime is 20652083536361. The reversal of 20652083536338 is 83363538025602.

20652083536338 is a `hidden beast` number, since 2 + 0 + 6 + 5 + 20 + 83 + 536 + 3 + 3 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20652083536333) 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, 159865456 + ... + 159994587.

It is an arithmetic number, because the mean of its divisors is an integer number (991726066422).

Almost surely, 220652083536338 is an apocalyptic number.

20652083536338 is an abundant number, since it is smaller than the sum of its proper divisors (26950767651918).

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

20652083536338 is a wasteful number, since it uses less digits than its factorization.

20652083536338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319860279 (or 319860276 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 20652083536338 in words is "twenty trillion, six hundred fifty-two billion, eighty-three million, five hundred thirty-six thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 211 306 422 633 1266 1899 3587 3798 7174 10761 21522 32283 64566 319860043 639720086 959580129 1919160258 2878740387 5437620731 5757480774 10875241462 16312862193 32625724386 48938586579 67490469073 97877173158 134980938146 202471407219 404942814438 607414221657 1147337974241 1214828443314 2294675948482 3442013922723 6884027845446 10326041768169 20652083536338