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428761035241 = 72111375806387
BaseRepresentation
bin1100011110101000010…
…01100011000111101001
31111222201002112100020021
412033110021203013221
524011100311111431
6524545313000441
742656045444500
oct6172411430751
91458632470207
10428761035241
11155922476910
126b11b253121
13315801186a6
1416a75c57837
15b24688bb11
hex63d42631e9

428761035241 has 24 divisors (see below), whose sum is σ = 548076576096. Its totient is φ = 331660768320.

The previous prime is 428761035233. The next prime is 428761035257. The reversal of 428761035241 is 142530167824.

It is not a de Polignac number, because 428761035241 - 23 = 428761035233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (428761033241) 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 23 ways as a sum of consecutive naturals, for example, 2829351 + ... + 2977036.

It is an arithmetic number, because the mean of its divisors is an integer number (22836524004).

Almost surely, 2428761035241 is an apocalyptic number.

It is an amenable number.

428761035241 is a deficient number, since it is larger than the sum of its proper divisors (119315540855).

428761035241 is a wasteful number, since it uses less digits than its factorization.

428761035241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5806549 (or 5806542 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 428761035241 in words is "four hundred twenty-eight billion, seven hundred sixty-one million, thirty-five thousand, two hundred forty-one".

Divisors: 1 7 11 49 77 137 539 959 1507 6713 10549 73843 5806387 40644709 63870257 284512963 447091799 795475019 3129642593 5568325133 8750225209 38978275931 61251576463 428761035241