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5972948982 = 232721113232971
BaseRepresentation
bin1011001000000001…
…11111011111110110
3120102021011020122200
411210000333133312
544213033331412
62424405005330
7301005141300
oct54400773766
916367136580
105972948982
112595634a80
1211a83b3846
137425b7150
144093aa970
1524e5929dc
hex16403f7f6

5972948982 has 576 divisors, whose sum is σ = 19360373760. Its totient is φ = 1303948800.

The previous prime is 5972948941. The next prime is 5972949007. The reversal of 5972948982 is 2898492795.

It is a happy number.

5972948982 is a `hidden beast` number, since 5 + 9 + 72 + 9 + 489 + 82 = 666.

It is a super-2 number, since 2×59729489822 = 71352239083149672648, which contains 22 as substring.

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

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 84126007 + ... + 84126077.

It is an arithmetic number, because the mean of its divisors is an integer number (33611760).

Almost surely, 25972948982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5972948982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9680186880).

5972948982 is an abundant number, since it is smaller than the sum of its proper divisors (13387424778).

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

5972948982 is a wasteful number, since it uses less digits than its factorization.

5972948982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 159 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The square root of 5972948982 is about 77284.8560974270. The cubic root of 5972948982 is about 1814.3856473202.

The spelling of 5972948982 in words is "five billion, nine hundred seventy-two million, nine hundred forty-eight thousand, nine hundred eighty-two".