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166354060642560 = 28335722233731181
BaseRepresentation
bin100101110100110001010010…
…101100010000100100000000
3210211000021220111210210221000
4211310301102230100210000
5133301021104011030220
61345450000032332000
750016453462455400
oct4564612254204400
9724007814723830
10166354060642560
11490073a743391a
12167a86463a4000
1371a9174c877cb
142d118181c8800
1514373b6ab2390
hex974c52b10900

166354060642560 has 1728 divisors, whose sum is σ = 692219922831360. Its totient is φ = 37719825776640.

The previous prime is 166354060642547. The next prime is 166354060642597. The reversal of 166354060642560 is 65246060453661.

166354060642560 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 5 + 4 + 0 + 606 + 4 + 25 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 = 166354060642497 and 166354060642506.

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 191 ways as a sum of consecutive naturals, for example, 140858645170 + ... + 140858646350.

It is an arithmetic number, because the mean of its divisors is an integer number (400590233120).

Almost surely, 2166354060642560 is an apocalyptic number.

166354060642560 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 166354060642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346109961415680).

166354060642560 is an abundant number, since it is smaller than the sum of its proper divisors (525865862188800).

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

166354060642560 is a wasteful number, since it uses less digits than its factorization.

166354060642560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 166354060642560 in words is "one hundred sixty-six trillion, three hundred fifty-four billion, sixty million, six hundred forty-two thousand, five hundred sixty".