Search a number
-
+
21909114668925 = 32521183181589241
BaseRepresentation
bin1001111101101000111001…
…11111110100011101111101
32212120111020212112011120200
410332310130333310131331
510332424331323401200
6114332524111034113
74420611166661151
oct476643477643575
985514225464520
1021909114668925
116a87670074460
12255a17220b939
13c2c0364971a3
1455a59a3d1061
1527ed8de06800
hex13ed1cff477d

21909114668925 has 144 divisors (see below), whose sum is σ = 43564292081856. Its totient is φ = 10436618880000.

The previous prime is 21909114668807. The next prime is 21909114668941. The reversal of 21909114668925 is 52986641190912.

21909114668925 is a `hidden beast` number, since 2 + 1 + 9 + 0 + 91 + 1 + 466 + 89 + 2 + 5 = 666.

It is not a de Polignac number, because 21909114668925 - 219 = 21909114144637 is a prime.

It is a super-2 number, since 2×219091146689252 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36887305 + ... + 37476545.

It is an arithmetic number, because the mean of its divisors is an integer number (302529806124).

Almost surely, 221909114668925 is an apocalyptic number.

21909114668925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21909114668925 is a deficient number, since it is larger than the sum of its proper divisors (21655177412931).

21909114668925 is a wasteful number, since it uses less digits than its factorization.

21909114668925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589532 (or 589524 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 21909114668925 in words is "twenty-one trillion, nine hundred nine billion, one hundred fourteen million, six hundred sixty-eight thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 83 99 165 181 225 249 275 415 495 543 747 825 905 913 1245 1629 1991 2075 2475 2715 2739 3735 4525 4565 5973 6225 8145 8217 9955 13575 13695 15023 17919 18675 22825 29865 40725 41085 45069 49775 68475 75115 89595 135207 149325 165253 205425 225345 375575 447975 495759 589241 676035 826265 1126725 1487277 1767723 2478795 2946205 3380175 4131325 5303169 6481651 7436385 8838615 12393975 14731025 19444953 26515845 32408255 37181925 44193075 48907003 58334859 97224765 106652621 132579225 146721009 162041275 244535015 291674295 319957863 440163027 486123825 533263105 537977033 733605045 959873589 1173178831 1222675075 1458371475 1599789315 1613931099 2200815135 2666315525 2689885165 3519536493 3668025225 4799367945 4841793297 5865894155 7998946575 8069655495 8852167543 10558609479 11004075675 13449425825 17597682465 23996839725 24208966485 26556502629 29329470775 40348277475 44260837715 52793047395 79669507887 87988412325 97373842973 121044832425 132782513145 221304188575 263965236975 292121528919 398347539435 486869214865 663912565725 876364586757 1460607644595 1991737697175 2434346074325 4381822933785 7303038222975 21909114668925