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12707166344796 = 22337211223862811
BaseRepresentation
bin1011100011101001111000…
…1000101101011001011100
31122222210102021022112111000
42320322132020231121130
53131143234041013141
643005331443030300
72451030266531400
oct270723610553134
948883367275430
1012707166344796
11405a096143400
12151289836b390
13712385765121
1431d05c981100
151708211ee5b6
hexb8e9e22d65c

12707166344796 has 432 divisors, whose sum is σ = 43955370627840. Its totient is φ = 3157056302400.

The previous prime is 12707166344771. The next prime is 12707166344801. The reversal of 12707166344796 is 69744366170721.

It is a happy number.

12707166344796 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 71 + 66 + 34 + 479 + 6 = 666.

It is a super-2 number, since 2×127071663447962 (a number of 27 digits) 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 (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14296231 + ... + 15159041.

It is an arithmetic number, because the mean of its divisors is an integer number (101748543120).

Almost surely, 212707166344796 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 12707166344796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21977685313920).

12707166344796 is an abundant number, since it is smaller than the sum of its proper divisors (31248204283044).

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

12707166344796 is a wasteful number, since it uses less digits than its factorization.

12707166344796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862883 (or 862857 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 12707166344796 in words is "twelve trillion, seven hundred seven billion, one hundred sixty-six million, three hundred forty-four thousand, seven hundred ninety-six".