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131843666976 = 2537297195287
BaseRepresentation
bin111101011001001111…
…1101011010000100000
3110121022102010020020220
41322302133223100200
54130003434320401
6140322415203040
712345131451510
oct1726237532040
9417272106226
10131843666976
1150a0734944a
1221676216480
13c581b43538
14654a2ab840
153669b45336
hex1eb27eb420

131843666976 has 192 divisors, whose sum is σ = 414937313280. Its totient is φ = 35858027520.

The previous prime is 131843666963. The next prime is 131843666993. The reversal of 131843666976 is 679666348131.

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 31 ways as a sum of consecutive naturals, for example, 1336005 + ... + 1431291.

It is an arithmetic number, because the mean of its divisors is an integer number (2161131840).

Almost surely, 2131843666976 is an apocalyptic number.

131843666976 is a gapful number since it is divisible by the number (16) 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 131843666976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207468656640).

131843666976 is an abundant number, since it is smaller than the sum of its proper divisors (283093646304).

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

131843666976 is a wasteful number, since it uses less digits than its factorization.

131843666976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95407 (or 95399 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 60.

The spelling of 131843666976 in words is "one hundred thirty-one billion, eight hundred forty-three million, six hundred sixty-six thousand, nine hundred seventy-six".