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41241261633 = 31121312796833
BaseRepresentation
bin100110011010001010…
…111011011001000001
310221110011201011100120
4212122022323121001
51133430230333013
630540155210453
72656665640245
oct463212733101
9127404634316
1041241261633
1116543687300
127bab746a29
133b732928c0
141dd339c425
151115973123
hex99a2bb641

41241261633 has 48 divisors (see below), whose sum is σ = 65151528960. Its totient is φ = 23050621440.

The previous prime is 41241261631. The next prime is 41241261643. The reversal of 41241261633 is 33616214214.

It is a happy number.

It is not a de Polignac number, because 41241261633 - 21 = 41241261631 is a prime.

It is a super-2 number, since 2×412412616332 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 41241261594 and 41241261603.

It is not an unprimeable number, because it can be changed into a prime (41241261631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6032185 + ... + 6039017.

It is an arithmetic number, because the mean of its divisors is an integer number (1357323520).

Almost surely, 241241261633 is an apocalyptic number.

It is an amenable number.

41241261633 is a deficient number, since it is larger than the sum of its proper divisors (23910267327).

41241261633 is a wasteful number, since it uses less digits than its factorization.

41241261633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8150 (or 8139 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

Adding to 41241261633 its reverse (33616214214), we get a palindrome (74857475847).

The spelling of 41241261633 in words is "forty-one billion, two hundred forty-one million, two hundred sixty-one thousand, six hundred thirty-three".

Divisors: 1 3 11 13 33 39 121 143 363 429 1279 1573 3837 4719 6833 14069 16627 20499 42207 49881 75163 88829 154759 182897 225489 266487 464277 548691 826793 977119 2011867 2480379 2931357 6035601 8739407 10748309 26218221 32244927 96133477 113612291 288400431 340836873 1057468247 1249735201 3172404741 3749205603 13747087211 41241261633