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6053336064 = 210381753
BaseRepresentation
bin1011010001100111…
…01001010000000000
3120121212102100000000
411220303221100000
544344123223224
62440400000000
7303002336046
oct55063512000
916555370000
106053336064
112626a4aa86
12120b300000
13756151779
14415d34396
152566710c9
hex168ce9400

6053336064 has 396 divisors, whose sum is σ = 19580480244. Its totient is φ = 1863254016.

The previous prime is 6053336041. The next prime is 6053336087. The reversal of 6053336064 is 4606333506.

It is a happy number.

6053336064 is a `hidden beast` number, since 6 + 0 + 533 + 3 + 60 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (6053336041) and next prime (6053336087).

It can be written as a sum of positive squares in 2 ways, for example, as 4541681664 + 1511654400 = 67392^2 + 38880^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 114213862 + ... + 114213914.

Almost surely, 26053336064 is an apocalyptic number.

6053336064 is a gapful number since it is divisible by the number (64) 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 6053336064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9790240122).

6053336064 is an abundant number, since it is smaller than the sum of its proper divisors (13527144180).

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

6053336064 is an frugal number, since it uses more digits than its factorization.

6053336064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The square root of 6053336064 is about 77803.1880066620. The cubic root of 6053336064 is about 1822.4890534322.

The spelling of 6053336064 in words is "six billion, fifty-three million, three hundred thirty-six thousand, sixty-four".