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49618427040 = 25335721321973
BaseRepresentation
bin101110001101011111…
…010001110010100000
311202001222211020221000
4232031133101302200
51303104304131130
634443331032000
73404406446100
oct561537216240
9152058736830
1049618427040
111a0523436a6
12974913b600
1348a99b0900
142589ba5200
151456121260
hexb8d7d1ca0

49618427040 has 1728 divisors, whose sum is σ = 233420745600. Its totient is φ = 9782083584.

The previous prime is 49618426987. The next prime is 49618427069. The reversal of 49618427040 is 4072481694.

49618427040 is a `hidden beast` number, since 4 + 9 + 618 + 4 + 27 + 0 + 4 + 0 = 666.

49618427040 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 679704444 + ... + 679704516.

It is an arithmetic number, because the mean of its divisors is an integer number (135081450).

Almost surely, 249618427040 is an apocalyptic number.

49618427040 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 49618427040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116710372800).

49618427040 is an abundant number, since it is smaller than the sum of its proper divisors (183802318560).

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

49618427040 is a wasteful number, since it uses less digits than its factorization.

49618427040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 49618427040 in words is "forty-nine billion, six hundred eighteen million, four hundred twenty-seven thousand, forty".