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50828351277312 = 28327314710931979
BaseRepresentation
bin10111000111010011001011…
…10100101000100100000000
320122222010212012020010011100
423203221211310220210000
523130232430411333222
6300034120000014400
713464140633204250
oct1343514564504400
9218863765203140
1050828351277312
1115217201227084
12584aa60001400
1322491292cca8b
14c7a16903d960
155d2266e554ac
hex2e3a65d28900

50828351277312 has 864 divisors, whose sum is σ = 176818608046080. Its totient is φ = 13735373783040.

The previous prime is 50828351277271. The next prime is 50828351277331. The reversal of 50828351277312 is 21377215382805.

50828351277312 is a `hidden beast` number, since 5 + 0 + 8 + 2 + 8 + 3 + 51 + 277 + 312 = 666.

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, 25683855139 + ... + 25683857117.

It is an arithmetic number, because the mean of its divisors is an integer number (204651166720).

Almost surely, 250828351277312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50828351277312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88409304023040).

50828351277312 is an abundant number, since it is smaller than the sum of its proper divisors (125990256768768).

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

50828351277312 is a wasteful number, since it uses less digits than its factorization.

50828351277312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3179 (or 3162 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 50828351277312 in words is "fifty trillion, eight hundred twenty-eight billion, three hundred fifty-one million, two hundred seventy-seven thousand, three hundred twelve".