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12660158269440 = 2113451117312633
BaseRepresentation
bin1011100000111010110000…
…1111001000100000000000
31122211022002012022212220000
42320032230033020200000
53124411001004110230
642531555120520000
72444444344506123
oct270165417104000
948738065285800
1012660158269440
114041163325650
121505759480000
1370ab03810116
1431aa7d7543ba
1516e4be355b60
hexb83ac3c8800

12660158269440 has 1920 divisors, whose sum is σ = 54126510197760. Its totient is φ = 2794350182400.

The previous prime is 12660158269439. The next prime is 12660158269483. The reversal of 12660158269440 is 4496285106621.

It is a happy number.

12660158269440 is a `hidden beast` number, since 1 + 2 + 6 + 60 + 1 + 5 + 82 + 69 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4808262364 + ... + 4808264996.

It is an arithmetic number, because the mean of its divisors is an integer number (28190890728).

Almost surely, 212660158269440 is an apocalyptic number.

12660158269440 is a gapful number since it is divisible by the number (10) 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 12660158269440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27063255098880).

12660158269440 is an abundant number, since it is smaller than the sum of its proper divisors (41466351928320).

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

12660158269440 is a wasteful number, since it uses less digits than its factorization.

12660158269440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2731 (or 2702 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 12660158269440 in words is "twelve trillion, six hundred sixty billion, one hundred fifty-eight million, two hundred sixty-nine thousand, four hundred forty".