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5989620313152 = 2635721729107149
BaseRepresentation
bin101011100101001000100…
…1100001110110001000000
3210012121020221022211100000
41113022101030032301000
51241113220300010102
620423332114200000
71155510242426400
oct127122114166100
923177227284300
105989620313152
1119aa202577063
128089b3883000
13345a84ac3b68
14169c83472800
15a5c0caca01c
hex5729130ec40

5989620313152 has 2016 divisors, whose sum is σ = 23050945008000. Its totient is φ = 1530241155072.

The previous prime is 5989620313141. The next prime is 5989620313189. The reversal of 5989620313152 is 2513130269895.

5989620313152 is a `hidden beast` number, since 5 + 9 + 8 + 9 + 620 + 3 + 1 + 3 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 287 ways as a sum of consecutive naturals, for example, 40198793974 + ... + 40198794122.

It is an arithmetic number, because the mean of its divisors is an integer number (11434000500).

Almost surely, 25989620313152 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 5989620313152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11525472504000).

5989620313152 is an abundant number, since it is smaller than the sum of its proper divisors (17061324694848).

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

5989620313152 is a wasteful number, since it uses less digits than its factorization.

5989620313152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 5989620313152 in words is "five trillion, nine hundred eighty-nine billion, six hundred twenty million, three hundred thirteen thousand, one hundred fifty-two".