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165344339160 = 23325711131923141
BaseRepresentation
bin1001100111111101001…
…0100110010011011000
3120210210010112201002100
42121333102212103120
510202111122323120
6203542543003400
714642246456640
oct2317722462330
9523703481070
10165344339160
1164138629290
1228065599560
131279054bba0
14800760b520
15447ac60490
hex267f4a64d8

165344339160 has 2304 divisors, whose sum is σ = 805210398720. Its totient is φ = 28366848000.

The previous prime is 165344339143. The next prime is 165344339197. The reversal of 165344339160 is 61933443561.

It is a happy number.

165344339160 is a `hidden beast` number, since 1 + 6 + 53 + 4 + 433 + 9 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4032788740 + ... + 4032788780.

It is an arithmetic number, because the mean of its divisors is an integer number (349483680).

Almost surely, 2165344339160 is an apocalyptic number.

165344339160 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 165344339160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402605199360).

165344339160 is an abundant number, since it is smaller than the sum of its proper divisors (639866059560).

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

165344339160 is a wasteful number, since it uses less digits than its factorization.

165344339160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 165344339160 in words is "one hundred sixty-five billion, three hundred forty-four million, three hundred thirty-nine thousand, one hundred sixty".