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5966997120 = 273257197789
BaseRepresentation
bin1011000111010100…
…10010011010000000
3120101211221212020100
411203222102122000
544210022401440
62424033242400
7300603432030
oct54352223200
916354855210
105966997120
11259223a287
1211a6403400
137412b2036
1440869b8c0
1524dcb9230
hex163a92680

5966997120 has 384 divisors, whose sum is σ = 24790896000. Its totient is φ = 1291935744.

The previous prime is 5966997061. The next prime is 5966997187. The reversal of 5966997120 is 217996695.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 762186 + ... + 769974.

It is an arithmetic number, because the mean of its divisors is an integer number (64559625).

Almost surely, 25966997120 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 5966997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12395448000).

5966997120 is an abundant number, since it is smaller than the sum of its proper divisors (18823898880).

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

5966997120 is a wasteful number, since it uses less digits than its factorization.

5966997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7840 (or 7825 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The square root of 5966997120 is about 77246.3404958449. The cubic root of 5966997120 is about 1813.7827869935.

The spelling of 5966997120 in words is "five billion, nine hundred sixty-six million, nine hundred ninety-seven thousand, one hundred twenty".