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65332131012 = 22334318797487
BaseRepresentation
bin111100110110000110…
…010011010011000100
320020122002221010102000
4330312012103103010
52032300011143022
650002502145300
74501663644111
oct746606232304
9206562833360
1065332131012
1125786315005
12107b3722230
1362123567b5
14323aacd908
151a759136ac
hexf361934c4

65332131012 has 96 divisors (see below), whose sum is σ = 173434060800. Its totient is φ = 21256766496.

The previous prime is 65332130999. The next prime is 65332131013. The reversal of 65332131012 is 21013123356.

65332131012 is a `hidden beast` number, since 6 + 5 + 332 + 1 + 310 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (65332131013) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8722333 + ... + 8729819.

It is an arithmetic number, because the mean of its divisors is an integer number (1806604800).

Almost surely, 265332131012 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 65332131012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86717030400).

65332131012 is an abundant number, since it is smaller than the sum of its proper divisors (108101929788).

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

65332131012 is a wasteful number, since it uses less digits than its factorization.

65332131012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9422 (or 9414 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 65332131012 its reverse (21013123356), we get a palindrome (86345254368).

The spelling of 65332131012 in words is "sixty-five billion, three hundred thirty-two million, one hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1161 1548 1879 2322 3758 4644 5637 7487 7516 11274 14974 16911 22461 22548 29948 33822 44922 50733 67383 67644 80797 89844 101466 134766 161594 202149 202932 242391 269532 321941 323188 404298 484782 643882 727173 808596 965823 969564 1287764 1454346 1931646 2181519 2897469 2908692 3863292 4363038 5794938 8692407 8726076 11589876 14068073 17384814 28136146 34769628 42204219 56272292 84408438 126612657 168816876 253225314 379837971 506450628 604927139 759675942 1209854278 1519351884 1814781417 2419708556 3629562834 5444344251 7259125668 10888688502 16333032753 21777377004 32666065506 65332131012