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22461054741 = 3229671284443
BaseRepresentation
bin10100111010110010…
…000111111100010101
32010222100102210200100
4110322302013330111
5332000012222431
614152442204313
71423414546416
oct247262077425
963870383610
1022461054741
119586752964
12442a1b3699
13216c51c648
1411310b980d
158b6d524e6
hex53ac87f15

22461054741 has 24 divisors (see below), whose sum is σ = 34063454880. Its totient is φ = 14241892896.

The previous prime is 22461054719. The next prime is 22461054769. The reversal of 22461054741 is 14745016422.

22461054741 is a `hidden beast` number, since 22 + 46 + 10 + 547 + 41 = 666.

It is not a de Polignac number, because 22461054741 - 25 = 22461054709 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22461054696 and 22461054705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22461054701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 624735 + ... + 659708.

It is an arithmetic number, because the mean of its divisors is an integer number (1419310620).

Almost surely, 222461054741 is an apocalyptic number.

It is an amenable number.

22461054741 is a deficient number, since it is larger than the sum of its proper divisors (11602400139).

22461054741 is a wasteful number, since it uses less digits than its factorization.

22461054741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284545 (or 1284542 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 22461054741 in words is "twenty-two billion, four hundred sixty-one million, fifty-four thousand, seven hundred forty-one".

Divisors: 1 3 9 29 67 87 201 261 603 1943 5829 17487 1284443 3853329 11559987 37248847 86057681 111746541 258173043 335239623 774519129 2495672749 7487018247 22461054741