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41825430361 = 111317314312907
BaseRepresentation
bin100110111100111111…
…010110101101011001
310222221212221000012101
4212330333112231121
51141124302232421
631114144043401
73010321202131
oct467477265531
9128855830171
1041825430361
1116813401980
128133303561
133c37307680
14204abc3ac1
15114bdb5191
hex9bcfd6b59

41825430361 has 64 divisors (see below), whose sum is σ = 54959579136. Its totient is φ = 31222195200.

The previous prime is 41825430359. The next prime is 41825430391. The reversal of 41825430361 is 16303452814.

It is a cyclic number.

It is not a de Polignac number, because 41825430361 - 21 = 41825430359 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 41825430361.

It is not an unprimeable number, because it can be changed into a prime (41825430391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3234070 + ... + 3246976.

It is an arithmetic number, because the mean of its divisors is an integer number (858743424).

Almost surely, 241825430361 is an apocalyptic number.

It is an amenable number.

41825430361 is a deficient number, since it is larger than the sum of its proper divisors (13134148775).

41825430361 is a wasteful number, since it uses less digits than its factorization.

41825430361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13022.

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 41825430361 in words is "forty-one billion, eight hundred twenty-five million, four hundred thirty thousand, three hundred sixty-one".

Divisors: 1 11 13 17 31 43 143 187 221 341 403 473 527 559 731 1333 2431 4433 5797 6149 6851 8041 9503 12907 14663 17329 22661 75361 104533 141977 167791 190619 219419 249271 294593 400117 555001 1845701 2413609 2852447 3240523 4401287 5201521 6105011 6801989 7215013 9435017 17205031 31376917 57216731 74821879 79365143 88425857 103785187 122655221 189255341 223665403 292485527 972684427 1349207431 2460319433 3217340797 3802311851 41825430361