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5336148480 = 293513192997
BaseRepresentation
bin1001111100000111…
…10010101000000000
3111202212220102120220
410332003302220000
541412023222410
62241300103040
7246143341125
oct47603625000
914685812526
105336148480
112299131373
12104b094a80
136706a5110
143889a474c
15213706070
hex13e0f2a00

5336148480 has 640 divisors, whose sum is σ = 20211206400. Its totient is φ = 1189085184.

The previous prime is 5336148463. The next prime is 5336148487. The reversal of 5336148480 is 848416335.

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (5336148487) by changing a digit.

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, 55011792 + ... + 55011888.

It is an arithmetic number, because the mean of its divisors is an integer number (31580010).

Almost surely, 25336148480 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 5336148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10105603200).

5336148480 is an abundant number, since it is smaller than the sum of its proper divisors (14875057920).

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

5336148480 is a wasteful number, since it uses less digits than its factorization.

5336148480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 5336148480 is about 73048.9457829475. The cubic root of 5336148480 is about 1747.4682825429.

The spelling of 5336148480 in words is "five billion, three hundred thirty-six million, one hundred forty-eight thousand, four hundred eighty".