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5317056000 = 29335317181
BaseRepresentation
bin1001111001110101…
…11101011000000000
3111201112222102122000
410330322331120000
541342131243000
62235334544000
7245522141664
oct47472753000
914645872560
105317056000
112289380963
121044808000
1366974baa9
143862348a4
15211bd4000
hex13cebd600

5317056000 has 640 divisors, whose sum is σ = 20912411520. Its totient is φ = 1327104000.

The previous prime is 5317055999. The next prime is 5317056037. The reversal of 5317056000 is 6507135.

5317056000 is a `hidden beast` number, since 5 + 31 + 70 + 560 + 0 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29375910 + ... + 29376090.

It is an arithmetic number, because the mean of its divisors is an integer number (32675643).

Almost surely, 25317056000 is an apocalyptic number.

5317056000 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 5317056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10456205760).

5317056000 is an abundant number, since it is smaller than the sum of its proper divisors (15595355520).

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

5317056000 is a wasteful number, since it uses less digits than its factorization.

5317056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 5317056000 is about 72918.1458897578. The cubic root of 5317056000 is about 1745.3816730940.

The spelling of 5317056000 in words is "five billion, three hundred seventeen million, fifty-six thousand".