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5599352973312 = 211337113313409
BaseRepresentation
bin101000101111011001101…
…1100011110100000000000
3201211021220112110211011000
41101132303130132200000
51213214433330121222
615524150210452000
71115353120656030
oct121366334364000
921737815424130
105599352973312
11186974386235a
12765237b94000
1331802a96bc37
1415501db218c0
159a9ba8829ac
hex517b371e800

5599352973312 has 768 divisors, whose sum is σ = 19231902144000. Its totient is φ = 1576726953984.

The previous prime is 5599352973307. The next prime is 5599352973323. The reversal of 5599352973312 is 2133792539955.

5599352973312 is a `hidden beast` number, since 5 + 5 + 9 + 9 + 3 + 5 + 297 + 331 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 5599352973312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13690349364 + ... + 13690349772.

It is an arithmetic number, because the mean of its divisors is an integer number (25041539250).

Almost surely, 25599352973312 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 5599352973312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9615951072000).

5599352973312 is an abundant number, since it is smaller than the sum of its proper divisors (13632549170688).

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

5599352973312 is a wasteful number, since it uses less digits than its factorization.

5599352973312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 847 counting only the distinct ones).

The product of its digits is 68890500, while the sum is 63.

The spelling of 5599352973312 in words is "five trillion, five hundred ninety-nine billion, three hundred fifty-two million, nine hundred seventy-three thousand, three hundred twelve".