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49528160640 = 2733572411699
BaseRepresentation
bin101110001000000110…
…111100000110000000
311201211200222020201000
4232020012330012000
51302413202120030
634430344212000
73402232263540
oct561006740600
9151750866630
1049528160640
111a0063a0172
129722a6a000
13489409763a
14257bbc9320
15144d240860
hexb881bc180

49528160640 has 512 divisors, whose sum is σ = 201421440000. Its totient is φ = 11267112960.

The previous prime is 49528160639. The next prime is 49528160683. The reversal of 49528160640 is 4606182594.

49528160640 is a `hidden beast` number, since 4 + 9 + 528 + 1 + 60 + 64 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29150511 + ... + 29152209.

It is an arithmetic number, because the mean of its divisors is an integer number (393401250).

Almost surely, 249528160640 is an apocalyptic number.

49528160640 is a gapful number since it is divisible by the number (40) 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 49528160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100710720000).

49528160640 is an abundant number, since it is smaller than the sum of its proper divisors (151893279360).

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

49528160640 is a wasteful number, since it uses less digits than its factorization.

49528160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 49528160640 in words is "forty-nine billion, five hundred twenty-eight million, one hundred sixty thousand, six hundred forty".