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21214580054661 = 327418213155267
BaseRepresentation
bin1001101001011011001111…
…00000100001101010000101
32210010002112120010010121200
410310231213200201222011
510240034424443222121
6113041502111533113
74316463033111630
oct464554740415205
983102476103550
1021214580054661
11683a064417a84
12246763bb2a199
13bab6ac411906
14534b10cd2c17
1526bc8ea82a26
hex134b67821a85

21214580054661 has 24 divisors (see below), whose sum is σ = 35875062210624. Its totient is φ = 11826943583040.

The previous prime is 21214580054621. The next prime is 21214580054779. The reversal of 21214580054661 is 16645008541212.

21214580054661 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 4 + 580 + 0 + 5 + 4 + 6 + 61 = 666.

It is not a de Polignac number, because 21214580054661 - 219 = 21214579530373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21214580054621) 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, 4106575051 + ... + 4106580216.

It is an arithmetic number, because the mean of its divisors is an integer number (1494794258776).

Almost surely, 221214580054661 is an apocalyptic number.

21214580054661 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21214580054661 is a deficient number, since it is larger than the sum of its proper divisors (14660482155963).

21214580054661 is a wasteful number, since it uses less digits than its factorization.

21214580054661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8213155321 (or 8213155318 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

Adding to 21214580054661 its reverse (16645008541212), we get a palindrome (37859588595873).

The spelling of 21214580054661 in words is "twenty-one trillion, two hundred fourteen billion, five hundred eighty million, fifty-four thousand, six hundred sixty-one".

Divisors: 1 3 7 9 21 41 63 123 287 369 861 2583 8213155267 24639465801 57492086869 73918397403 172476260607 336739365947 517428781821 1010218097841 2357175561629 3030654293523 7071526684887 21214580054661