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80649255960 = 233357131748271
BaseRepresentation
bin100101100011100010…
…0011111110000011000
321201011120210200202000
41023013010133300120
52310132202142320
6101014425241000
75553364236060
oct1130704376030
9251146720660
1080649255960
1131226447759
1213769333160
1377b37b8240
143c910a43a0
1521704bac90
hex12c711fc18

80649255960 has 512 divisors, whose sum is σ = 350338867200. Its totient is φ = 16014827520.

The previous prime is 80649255937. The next prime is 80649255971. The reversal of 80649255960 is 6955294608.

It is a happy number.

80649255960 is a `hidden beast` number, since 8 + 0 + 6 + 49 + 2 + 5 + 596 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 80649255897 and 80649255906.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1646625 + ... + 1694895.

It is an arithmetic number, because the mean of its divisors is an integer number (684255600).

Almost surely, 280649255960 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 80649255960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175169433600).

80649255960 is an abundant number, since it is smaller than the sum of its proper divisors (269689611240).

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

80649255960 is a wasteful number, since it uses less digits than its factorization.

80649255960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48328 (or 48318 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 80649255960 in words is "eighty billion, six hundred forty-nine million, two hundred fifty-five thousand, nine hundred sixty".