Search a number
-
+
22582713056661 = 3231809934110711
BaseRepresentation
bin1010010001001111100101…
…00101101111110110010101
32221221212221002201200221100
411020213302211233312111
510424443344020303121
6120010204414140313
74520355452544162
oct510476245576625
987855832650840
1022582713056661
117217302876a8a
122648820ab1699
13c7a704c06344
1458101b13b069
15292665229026
hex1489f296fd95

22582713056661 has 48 divisors (see below), whose sum is σ = 33720093987840. Its totient is φ = 14548566816000.

The previous prime is 22582713056593. The next prime is 22582713056663. The reversal of 22582713056661 is 16665031728522.

It is not a de Polignac number, because 22582713056661 - 227 = 22582578838933 is a prime.

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 junction number, because it is equal to n+sod(n) for n = 22582713056598 and 22582713056607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22582713056663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2108361096 + ... + 2108371806.

It is an arithmetic number, because the mean of its divisors is an integer number (702501958080).

Almost surely, 222582713056661 is an apocalyptic number.

It is an amenable number.

22582713056661 is a deficient number, since it is larger than the sum of its proper divisors (11137380931179).

22582713056661 is a wasteful number, since it uses less digits than its factorization.

22582713056661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20898 (or 20895 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 22582713056661 in words is "twenty-two trillion, five hundred eighty-two billion, seven hundred thirteen million, fifty-six thousand, six hundred sixty-one".

Divisors: 1 3 9 31 93 279 809 2427 7281 9341 10711 25079 28023 32133 75237 84069 96399 225711 289571 332041 868713 996123 2606139 2988369 7556869 8665199 22670607 25995597 68011821 77986791 100051451 234262939 268621169 300154353 702788817 805863507 900463059 2108366451 2417590521 3101594981 9304784943 27914354829 80941623859 242824871577 728474614731 2509190339629 7527571018887 22582713056661