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5033064960 = 293257112837
BaseRepresentation
bin1001010111111111…
…00111101000000000
3110222202121012011100
410223333213220000
540301431034320
62151232014400
7235503226530
oct45377475000
913882535140
105033064960
112153041220
12b85691400
13622967961
1435a62b4c0
151e6cd8790
hex12bfe7a00

5033064960 has 480 divisors, whose sum is σ = 21739715712. Its totient is φ = 1045463040.

The previous prime is 5033064901. The next prime is 5033064977. The reversal of 5033064960 is 694603305.

5033064960 is a `hidden beast` number, since 5 + 0 + 3 + 3 + 0 + 649 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 1772662 + ... + 1775498.

Almost surely, 25033064960 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 5033064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10869857856).

5033064960 is an abundant number, since it is smaller than the sum of its proper divisors (16706650752).

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

5033064960 is a wasteful number, since it uses less digits than its factorization.

5033064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 5033064960 is about 70944.0974288912. The cubic root of 5033064960 is about 1713.7370205881.

The spelling of 5033064960 in words is "five billion, thirty-three million, sixty-four thousand, nine hundred sixty".