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4168861786980 = 223251117413020783
BaseRepresentation
bin111100101010100011100…
…001101010001101100100
3112202112120010221021022200
4330222203201222031210
51021300312104140410
612511052040054500
7610122165342012
oct74524341521544
915675503837280
104168861786980
111368005884520
12573b53464430
13243177cb2797
14105ab9b6b8b2
15736959223c0
hex3caa386a364

4168861786980 has 288 divisors, whose sum is σ = 14962885636608. Its totient is φ = 927984230400.

The previous prime is 4168861786961. The next prime is 4168861787047. The reversal of 4168861786980 is 896871688614.

4168861786980 is a `hidden beast` number, since 416 + 8 + 8 + 6 + 1 + 78 + 69 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4168861786899 and 4168861786908.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130332 + ... + 2890451.

It is an arithmetic number, because the mean of its divisors is an integer number (51954464016).

Almost surely, 24168861786980 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 4168861786980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7481442818304).

4168861786980 is an abundant number, since it is smaller than the sum of its proper divisors (10794023849628).

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

4168861786980 is a wasteful number, since it uses less digits than its factorization.

4168861786980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3020867 (or 3020862 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 72.

The spelling of 4168861786980 in words is "four trillion, one hundred sixty-eight billion, eight hundred sixty-one million, seven hundred eighty-six thousand, nine hundred eighty".