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50985826635744 = 25367112131931337
BaseRepresentation
bin10111001011111000100000…
…00101011100111111100000
320200112012022220220012000000
423211330100011130333200
523140322433104320434
6300234322043300000
713511414212521360
oct1345742005347740
9220465286805000
1050985826635744
1115277a70a35700
12587548a21a600
13225ac344c0240
14c83a2752a9a0
155d63d1e4ab99
hex2e5f1015cfe0

50985826635744 has 4032 divisors, whose sum is σ = 221884542996480. Its totient is φ = 11174149324800.

The previous prime is 50985826635647. The next prime is 50985826635773. The reversal of 50985826635744 is 44753662858905.

50985826635744 is a `hidden beast` number, since 5 + 0 + 9 + 8 + 5 + 8 + 266 + 357 + 4 + 4 = 666.

50985826635744 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 (72).

It is a congruent number.

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 671 ways as a sum of consecutive naturals, for example, 151293253944 + ... + 151293254280.

It is an arithmetic number, because the mean of its divisors is an integer number (55030888640).

Almost surely, 250985826635744 is an apocalyptic number.

50985826635744 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50985826635744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110942271498240).

50985826635744 is an abundant number, since it is smaller than the sum of its proper divisors (170898716360736).

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

50985826635744 is a wasteful number, since it uses less digits than its factorization.

50985826635744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 1741824000, while the sum is 72.

The spelling of 50985826635744 in words is "fifty trillion, nine hundred eighty-five billion, eight hundred twenty-six million, six hundred thirty-five thousand, seven hundred forty-four".