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5938161647616 = 218321133161
BaseRepresentation
bin101011001101001011000…
…0001000000000000000000
3210000200102200202202202200
41112122112001000000000
51234242323340210431
620343542004313200
71152006116122422
oct126322601000000
923020380682680
105938161647616
11198a3a6496000
127baa323a2800
13340c73aa4c43
141675a111c812
15a46ea152ee6
hex56696040000

5938161647616 has 912 divisors, whose sum is σ = 19796808685056. Its totient is φ = 1712848896000.

The previous prime is 5938161647609. The next prime is 5938161647651. The reversal of 5938161647616 is 6167461618395.

It is a happy number.

5938161647616 is a `hidden beast` number, since 5 + 9 + 3 + 8 + 1 + 6 + 1 + 6 + 4 + 7 + 616 = 666.

Its product of digits (39191040) is a multiple of the sum of its prime divisors (108).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97346912226 + ... + 97346912286.

Almost surely, 25938161647616 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 5938161647616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9898404342528).

5938161647616 is an abundant number, since it is smaller than the sum of its proper divisors (13858647037440).

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

5938161647616 is an frugal number, since it uses more digits than its factorization.

5938161647616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 108 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 5938161647616 in words is "five trillion, nine hundred thirty-eight billion, one hundred sixty-one million, six hundred forty-seven thousand, six hundred sixteen".