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166355042040 = 2332511291638887
BaseRepresentation
bin1001101011101110001…
…0000111111011111000
3120220101120100201210100
42122323202013323320
510211143342321130
6204231125515400
715006301345365
oct2327342077370
9526346321710
10166355042040
11646070a2320
12282a7b72b60
13128c1a65825
1480a194346c
1544d9857c60
hex26bb887ef8

166355042040 has 384 divisors, whose sum is σ = 613954598400. Its totient is φ = 38694620160.

The previous prime is 166355042003. The next prime is 166355042041. The reversal of 166355042040 is 40240553661.

166355042040 is a `hidden beast` number, since 1 + 6 + 63 + 550 + 4 + 2 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 166355041986 and 166355042004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166355042041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18714477 + ... + 18723363.

It is an arithmetic number, because the mean of its divisors is an integer number (1598840100).

Almost surely, 2166355042040 is an apocalyptic number.

166355042040 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 166355042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306977299200).

166355042040 is an abundant number, since it is smaller than the sum of its proper divisors (447599556360).

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

166355042040 is a wasteful number, since it uses less digits than its factorization.

166355042040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9107 (or 9100 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 166355042040 in words is "one hundred sixty-six billion, three hundred fifty-five million, forty-two thousand, forty".