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50105903445 = 325131712374073
BaseRepresentation
bin101110101010100010…
…110110100101010101
311210022222002121211200
4232222202312211111
51310104102402240
635003543223113
73422446103103
oct565242664525
9153288077750
1050105903445
111a282526964
129864447a99
13495699c5a0
1425d481ac73
151483d13930
hexbaa8b6955

50105903445 has 96 divisors (see below), whose sum is σ = 99137237472. Its totient is φ = 23192027136.

The previous prime is 50105903437. The next prime is 50105903509. The reversal of 50105903445 is 54430950105.

50105903445 is a `hidden beast` number, since 50 + 10 + 590 + 3 + 4 + 4 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 16116556401 + 33989347044 = 126951^2 + 184362^2 .

It is not a de Polignac number, because 50105903445 - 23 = 50105903437 is a prime.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 12299929 + ... + 12304001.

It is an arithmetic number, because the mean of its divisors is an integer number (1032679557).

Almost surely, 250105903445 is an apocalyptic number.

It is an amenable number.

50105903445 is a deficient number, since it is larger than the sum of its proper divisors (49031334027).

50105903445 is a wasteful number, since it uses less digits than its factorization.

50105903445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5351 (or 5348 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 50105903445 in words is "fifty billion, one hundred five million, nine hundred three thousand, four hundred forty-five".

Divisors: 1 3 5 9 13 15 17 39 45 51 65 85 117 153 195 221 255 585 663 765 1105 1237 1989 3315 3711 4073 6185 9945 11133 12219 16081 18555 20365 21029 36657 48243 52949 55665 61095 63087 69241 80405 105145 144729 158847 183285 189261 207723 241215 264745 273377 315435 346205 476541 623169 723645 794235 820131 900133 946305 1038615 1366885 2382705 2460393 2700399 3115845 4100655 4500665 5038301 8101197 12301965 13501995 15114903 25191505 40505985 45344709 65497913 75574515 85651117 196493739 226723545 256953351 327489565 428255585 589481217 770860053 982468695 1113464521 1284766755 2947406085 3340393563 3854300265 5567322605 10021180689 16701967815 50105903445