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21386305468089 = 310190312
BaseRepresentation
bin1001101110011011000110…
…01000111111011010111001
32210201111210101210000000000
410313031203020333122321
510300343123144434324
6113252422203303213
74335052405045632
oct467154310773271
983644711700000
1021386305468089
1168a5976995861
12249498651ab09
13bc1948972693
1453d161b88889
15271490b019c9
hex13736323f6b9

21386305468089 has 33 divisors (see below), whose sum is σ = 32080962833989. Its totient is φ = 14256787804380.

The previous prime is 21386305468043. The next prime is 21386305468111. The reversal of 21386305468089 is 98086450368312.

It is a happy number.

The square root of 21386305468089 is 4624533.

It is a perfect power (a square), and thus also a powerful number.

21386305468089 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 6 + 3 + 0 + 546 + 8 + 0 + 89 = 666.

It is not a de Polignac number, because 21386305468089 - 221 = 21386303370937 is a prime.

It is a super-2 number, since 2×213863054680892 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21386305468589) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 1123752004 + ... + 1123771034.

Almost surely, 221386305468089 is an apocalyptic number.

21386305468089 is the 4624533-rd square number.

21386305468089 is the 2312267-th centered octagonal number.

It is an amenable number.

21386305468089 is a deficient number, since it is larger than the sum of its proper divisors (10694657365900).

21386305468089 is an frugal number, since it uses more digits than its factorization.

21386305468089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38092 (or 19034 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 21386305468089 in words is "twenty-one trillion, three hundred eighty-six billion, three hundred five million, four hundred sixty-eight thousand, eighty-nine".

Divisors: 1 3 9 27 81 243 729 2187 6561 19031 19683 57093 59049 171279 513837 1541511 4624533 13873599 41620797 124862391 362178961 374587173 1086536883 1123761519 3259610649 9778831947 29336495841 88009487523 264028462569 792085387707 2376256163121 7128768489363 21386305468089