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41624711661 = 31324710871607
BaseRepresentation
bin100110110001000001…
…101011000111101101
310222102220020102220110
4212301001223013231
51140221411233121
631042214010233
73002333132331
oct466101530755
9128386212813
1041624711661
1116720078a55
128098046979
133c0485b200
14202c2957c1
151139467d76
hex9b106b1ed

41624711661 has 48 divisors (see below), whose sum is σ = 61470572544. Its totient is φ = 25031552832.

The previous prime is 41624711657. The next prime is 41624711671. The reversal of 41624711661 is 16611742614.

41624711661 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 41624711661 - 22 = 41624711657 is a prime.

It is a super-2 number, since 2×416247116612 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41624711671) 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, 25901320 + ... + 25902926.

It is an arithmetic number, because the mean of its divisors is an integer number (1280636928).

Almost surely, 241624711661 is an apocalyptic number.

It is an amenable number.

41624711661 is a deficient number, since it is larger than the sum of its proper divisors (19845860883).

41624711661 is a wasteful number, since it uses less digits than its factorization.

41624711661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2757 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The spelling of 41624711661 in words is "forty-one billion, six hundred twenty-four million, seven hundred eleven thousand, six hundred sixty-one".

Divisors: 1 3 13 39 47 141 169 507 611 1087 1607 1833 3261 4821 7943 14131 20891 23829 42393 51089 62673 75529 153267 183703 226587 271583 551109 664157 814749 981877 1746809 1992471 2945631 5240427 8634041 12764401 22708517 25902123 38293203 68125551 82100023 246300069 295210721 885632163 1067300299 3201900897 13874903887 41624711661