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5873030064 = 243511532591
BaseRepresentation
bin1010111100000111…
…10101001110110000
3120011022010211200000
411132003311032300
544011443430224
62410435230000
7265352634426
oct53603651660
916138124600
105873030064
112544199460
12117aa48300
137279a1525
143d9ddb116
152459070c9
hex15e0f53b0

5873030064 has 240 divisors, whose sum is σ = 18952786944. Its totient is φ = 1745452800.

The previous prime is 5873030047. The next prime is 5873030071. The reversal of 5873030064 is 4600303785.

It is a happy number.

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 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, 2265409 + ... + 2267999.

Almost surely, 25873030064 is an apocalyptic number.

5873030064 is a gapful number since it is divisible by the number (54) 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 5873030064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9476393472).

5873030064 is an abundant number, since it is smaller than the sum of its proper divisors (13079756880).

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

5873030064 is a wasteful number, since it uses less digits than its factorization.

5873030064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5873030064 is about 76635.6970608345. The cubic root of 5873030064 is about 1804.2113393276.

The spelling of 5873030064 in words is "five billion, eight hundred seventy-three million, thirty thousand, sixty-four".