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49955079241242 = 2337293451045373
BaseRepresentation
bin10110101101111000100101…
…10000001011111000011010
320112212122210100211021122000
423112330102300023320122
523021431000241204432
6254125014021341430
713344064301315640
oct1326742260137032
9215778710737560
1049955079241242
1114a0a9149a617a
125729766b67876
1321b4989067a56
14c49ba56c5190
155b96a617557c
hex2d6f12c0be1a

49955079241242 has 64 divisors (see below), whose sum is σ = 127303046357760. Its totient is φ = 14224166851392.

The previous prime is 49955079241189. The next prime is 49955079241261. The reversal of 49955079241242 is 24214297055994.

49955079241242 is a `hidden beast` number, since 4 + 9 + 9 + 550 + 7 + 9 + 24 + 12 + 42 = 666.

49955079241242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 49955079241242.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 225411933 + ... + 225633440.

It is an arithmetic number, because the mean of its divisors is an integer number (1989110099340).

Almost surely, 249955079241242 is an apocalyptic number.

49955079241242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

49955079241242 is an abundant number, since it is smaller than the sum of its proper divisors (77347967116518).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49955079241242 is a wasteful number, since it uses less digits than its factorization.

49955079241242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451045684 (or 451045678 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 49955079241242 in words is "forty-nine trillion, nine hundred fifty-five billion, seventy-nine million, two hundred forty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 293 378 586 879 1758 2051 2637 4102 5274 6153 7911 12306 15822 18459 36918 55377 110754 451045373 902090746 1353136119 2706272238 3157317611 4059408357 6314635222 8118816714 9471952833 12178225071 18943905666 24356450142 28415858499 56831716998 85247575497 132156294289 170495150994 264312588578 396468882867 792937765734 925094060023 1189406648601 1850188120046 2378813297202 2775282180069 3568219945803 5550564360138 7136439891606 8325846540207 16651693080414 24977539620621 49955079241242