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42500241765 = 3251396919833
BaseRepresentation
bin100111100101001101…
…100011100101100101
311001200220200222102100
4213211031203211211
51144020030214030
631305131402313
73033124044252
oct474515434545
9131626628370
1042500241765
111702a307753
1282a12b3399
134014067a67
1420b2682429
15118b25e360
hex9e5363965

42500241765 has 48 divisors (see below), whose sum is σ = 74311997760. Its totient is φ = 22468872960.

The previous prime is 42500241737. The next prime is 42500241767. The reversal of 42500241765 is 56714200524.

It is a happy number.

42500241765 is a `hidden beast` number, since 42 + 500 + 2 + 41 + 76 + 5 = 666.

It is not a de Polignac number, because 42500241765 - 214 = 42500225381 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42500241767) 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 47 ways as a sum of consecutive naturals, for example, 4317289 + ... + 4327121.

It is an arithmetic number, because the mean of its divisors is an integer number (1548166620).

Almost surely, 242500241765 is an apocalyptic number.

42500241765 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42500241765 is a deficient number, since it is larger than the sum of its proper divisors (31811755995).

42500241765 is a wasteful number, since it uses less digits than its factorization.

42500241765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10674 (or 10671 counting only the distinct ones).

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

The spelling of 42500241765 in words is "forty-two billion, five hundred million, two hundred forty-one thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 15 45 139 417 691 695 1251 2073 2085 3455 6219 6255 9833 10365 29499 31095 49165 88497 96049 147495 288147 442485 480245 864441 1366787 1440735 4100361 4322205 6794603 6833935 12301083 20383809 20501805 33973015 61151427 61505415 101919045 305757135 944449817 2833349451 4722249085 8500048353 14166747255 42500241765