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50648431680 = 263557112769
BaseRepresentation
bin101111001010111000…
…011011110001000000
311211201202221220200000
4233022320123301000
51312211444303210
635133443400000
73442054365060
oct571270336100
9154652856600
1050648431680
111a5307a0400
129996083000
134a121c4c02
1426468c33a0
1514b677cac0
hexbcae1bc40

50648431680 has 1008 divisors, whose sum is σ = 227242055040. Its totient is φ = 10510663680.

The previous prime is 50648431679. The next prime is 50648431733. The reversal of 50648431680 is 8613484605.

50648431680 is a `hidden beast` number, since 5 + 0 + 6 + 484 + 3 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 65862336 + ... + 65863104.

Almost surely, 250648431680 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 50648431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113621027520).

50648431680 is an abundant number, since it is smaller than the sum of its proper divisors (176593623360).

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

50648431680 is a wasteful number, since it uses less digits than its factorization.

50648431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 50648431680 in words is "fifty billion, six hundred forty-eight million, four hundred thirty-one thousand, six hundred eighty".