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5308776000 = 263253116703
BaseRepresentation
bin1001111000110110…
…10111111001000000
3111200222101202121100
410330123113321000
541333021313000
62234441254400
7245361565023
oct47433277100
914628352540
105308776000
112284735a90
121041a94400
13667b10098
143850bb1ba
152110eaa00
hex13c6d7e40

5308776000 has 336 divisors, whose sum is σ = 20719865088. Its totient is φ = 1286784000.

The previous prime is 5308775939. The next prime is 5308776013. The reversal of 5308776000 is 6778035.

It is a super-3 number, since 3×53087760003 (a number of 30 digits) contains 333 as substring.

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, 788649 + ... + 795351.

Almost surely, 25308776000 is an apocalyptic number.

5308776000 is a gapful number since it is divisible by the number (50) 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 5308776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10359932544).

5308776000 is an abundant number, since it is smaller than the sum of its proper divisors (15411089088).

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

5308776000 is a wasteful number, since it uses less digits than its factorization.

5308776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6747 (or 6724 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 5308776000 is about 72861.3477778170. The cubic root of 5308776000 is about 1744.4752022681.

The spelling of 5308776000 in words is "five billion, three hundred eight million, seven hundred seventy-six thousand".