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5988681216 = 293473421
BaseRepresentation
bin1011001001111010…
…00000011000000000
3120110100202112020000
411210331000120000
544231100244331
62430130120000
7301255644000
oct54475003000
916410675200
105988681216
1125a34aa921
1211b1720000
13745934b6b
1440b504000
15250b4e0e6
hex164f40600

5988681216 has 400 divisors, whose sum is σ = 20894570400. Its totient is φ = 1706987520.

The previous prime is 5988681211. The next prime is 5988681229. The reversal of 5988681216 is 6121868895.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5988681211) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 14224686 + ... + 14225106.

It is an arithmetic number, because the mean of its divisors is an integer number (52236426).

Almost surely, 25988681216 is an apocalyptic number.

5988681216 is a gapful number since it is divisible by the number (56) 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 5988681216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10447285200).

5988681216 is an abundant number, since it is smaller than the sum of its proper divisors (14905889184).

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

5988681216 is an frugal number, since it uses more digits than its factorization.

5988681216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 433 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The square root of 5988681216 is about 77386.5699976424. The cubic root of 5988681216 is about 1815.9772293651.

The spelling of 5988681216 in words is "five billion, nine hundred eighty-eight million, six hundred eighty-one thousand, two hundred sixteen".