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166210227072 = 273619241389
BaseRepresentation
bin1001101011001011100…
…1101100101110000000
3120220000110212101000000
42122302321230232000
510210344304231242
6204204514000000
715002562422331
oct2326271545600
9526013771000
10166210227072
116454238172a
1228267576000
131289aa609b6
14808a608288
1544cbc9ea4c
hex26b2e6cb80

166210227072 has 448 divisors, whose sum is σ = 526102434000. Its totient is φ = 52135280640.

The previous prime is 166210227067. The next prime is 166210227101. The reversal of 166210227072 is 270722012661.

It is a happy number.

166210227072 is a `hidden beast` number, since 1 + 6 + 621 + 0 + 2 + 27 + 0 + 7 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 427275454 + ... + 427275842.

Almost surely, 2166210227072 is an apocalyptic number.

166210227072 is a gapful number since it is divisible by the number (12) 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 166210227072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263051217000).

166210227072 is an abundant number, since it is smaller than the sum of its proper divisors (359892206928).

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

166210227072 is an equidigital number, since it uses as much as digits as its factorization.

166210227072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 166210227072 in words is "one hundred sixty-six billion, two hundred ten million, two hundred twenty-seven thousand, seventy-two".