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49986503828253 = 3640933
BaseRepresentation
bin10110101110110011000111…
…10011011110001100011101
320112222122220101201201000000
423113121203303132030131
523022434324440001003
6254151252143324513
713346256110022456
oct1327314363361435
9215878811651000
1049986503828253
1114a221802a1543
125733876bb0739
1321b7926609835
14c4b50700212d
155ba3e4d9e1a3
hex2d7663cde31d

49986503828253 has 28 divisors (see below), whose sum is σ = 74963786566300. Its totient is φ = 33316194098088.

The previous prime is 49986503828207. The next prime is 49986503828353. The reversal of 49986503828253 is 35282830568994.

The cubic root of 49986503828253 is 36837.

It is a perfect power (a cube), and thus also a powerful number.

49986503828253 is a `hidden beast` number, since 4 + 9 + 98 + 6 + 503 + 8 + 2 + 8 + 25 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3397319885124 + 46589183943129 = 1843182^2 + 6825627^2 .

It is not a de Polignac number, because 49986503828253 - 237 = 49849064874781 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49986503828353) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 12212679075 + ... + 12212683167.

Almost surely, 249986503828253 is an apocalyptic number.

It is an amenable number.

49986503828253 is a deficient number, since it is larger than the sum of its proper divisors (24977282738047).

49986503828253 is an frugal number, since it uses more digits than its factorization.

49986503828253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12297 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 895795200, while the sum is 72.

The spelling of 49986503828253 in words is "forty-nine trillion, nine hundred eighty-six billion, five hundred three million, eight hundred twenty-eight thousand, two hundred fifty-three".

Divisors: 1 3 9 27 81 243 729 4093 12279 36837 110511 331533 994599 2983797 16752649 50257947 150773841 452321523 1356964569 4070893707 12212681121 68568592357 205705777071 617117331213 1851351993639 5554055980917 16662167942751 49986503828253