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41586985098229 = 537318173381017
BaseRepresentation
bin10010111010010101110010…
…11110010101101111110101
312110020200021111100222102211
421131022321132111233311
520422330121141120404
6224240444110333421
711521363154566534
oct1135127136255765
9173220244328384
1041586985098229
1112283a39a1019a
1247b7a051ba271
131a2883600209c
14a3ab6c47c31b
154c1b8d908b04
hex25d2b9795bf5

41586985098229 has 32 divisors (see below), whose sum is σ = 43248838205664. Its totient is φ = 39965957591040.

The previous prime is 41586985098221. The next prime is 41586985098283. The reversal of 41586985098229 is 92289058968514.

It can be written as a sum of positive squares in 16 ways, for example, as 150381084100 + 41436604014129 = 387790^2 + 6437127^2 .

It is a cyclic number.

It is not a de Polignac number, because 41586985098229 - 23 = 41586985098221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41586985098221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 513271329 + ... + 513352345.

It is an arithmetic number, because the mean of its divisors is an integer number (1351526193927).

Almost surely, 241586985098229 is an apocalyptic number.

It is an amenable number.

41586985098229 is a deficient number, since it is larger than the sum of its proper divisors (1661853107435).

41586985098229 is a wasteful number, since it uses less digits than its factorization.

41586985098229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82057.

The product of its (nonzero) digits is 895795200, while the sum is 76.

The spelling of 41586985098229 in words is "forty-one trillion, five hundred eighty-six billion, nine hundred eighty-five million, ninety-eight thousand, two hundred twenty-nine".

Divisors: 1 53 73 181 733 3869 9593 13213 38849 53509 81017 132673 700289 2835977 4293901 5914241 7031669 9685129 14664077 59385461 313454773 513311837 777196081 1070477621 3147429433 4335138653 10748768441 56735313913 229762348609 569684727373 784660096193 41586985098229