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166550331168 = 253413173183113
BaseRepresentation
bin1001101100011100101…
…1000101111100100000
3120220220011211110010000
42123013023011330200
510212043341044133
6204302343340000
715014162312424
oct2330713057440
9526804743100
10166550331168
11646a73579a1
1228341451600
1312923360820
1480bd85ab84
1544eba81413
hex26c72c5f20

166550331168 has 960 divisors, whose sum is σ = 588654646272. Its totient is φ = 45705461760.

The previous prime is 166550331139. The next prime is 166550331197. The reversal of 166550331168 is 861133055661.

166550331168 is a `hidden beast` number, since 1 + 6 + 6 + 550 + 3 + 31 + 1 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (166550331139) and next prime (166550331197).

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, 1473896680 + ... + 1473896792.

Almost surely, 2166550331168 is an apocalyptic number.

166550331168 is a gapful number since it is divisible by the number (18) 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 166550331168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294327323136).

166550331168 is an abundant number, since it is smaller than the sum of its proper divisors (422104315104).

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

166550331168 is a wasteful number, since it uses less digits than its factorization.

166550331168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 166550331168 in words is "one hundred sixty-six billion, five hundred fifty million, three hundred thirty-one thousand, one hundred sixty-eight".