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41052072564 = 22331013763483
BaseRepresentation
bin100110001110111001…
…001110101001110100
310220221222201100202000
4212032321032221310
51133033312310224
630505320215300
72652210600516
oct461671165164
9126858640660
1041052072564
11164569087a8
127b5830a530
133b430222c9
141db61d1bb6
1511040520c9
hex98ee4ea74

41052072564 has 48 divisors (see below), whose sum is σ = 107485103040. Its totient is φ = 13548535200.

The previous prime is 41052072563. The next prime is 41052072569. The reversal of 41052072564 is 46527025014.

It is a happy number.

41052072564 is a `hidden beast` number, since 4 + 1 + 0 + 5 + 20 + 72 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41052072563) 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 15 ways as a sum of consecutive naturals, for example, 1870834 + ... + 1892649.

It is an arithmetic number, because the mean of its divisors is an integer number (2239272980).

Almost surely, 241052072564 is an apocalyptic number.

It is an amenable number.

41052072564 is an abundant number, since it is smaller than the sum of its proper divisors (66433030476).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41052072564 is a wasteful number, since it uses less digits than its factorization.

41052072564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763597 (or 3763589 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 41052072564 its reverse (46527025014), we get a palindrome (87579097578).

The spelling of 41052072564 in words is "forty-one billion, fifty-two million, seventy-two thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 108 202 303 404 606 909 1212 1818 2727 3636 5454 10908 3763483 7526966 11290449 15053932 22580898 33871347 45161796 67742694 101614041 135485388 203228082 380111783 406456164 760223566 1140335349 1520447132 2280670698 3421006047 4561341396 6842012094 10263018141 13684024188 20526036282 41052072564