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165382068600 = 233352719230273
BaseRepresentation
bin1001101000000110001…
…0100001100101111000
3120210212202112120011000
42122001202201211320
510202200302143400
6203550411405000
714643215250210
oct2320142414570
9523782476130
10165382068600
1164157958a41
1228076153760
13127982cc0b8
14800c62d240
15447e214600
hex26818a1978

165382068600 has 384 divisors, whose sum is σ = 685295424000. Its totient is φ = 35811901440.

The previous prime is 165382068589. The next prime is 165382068611. The reversal of 165382068600 is 6860283561.

165382068600 is a `hidden beast` number, since 1 + 6 + 5 + 38 + 2 + 0 + 6 + 8 + 600 = 666.

165382068600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (165382068589) and next prime (165382068611).

It is a super-2 number, since 2×1653820686002 (a number of 23 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 603064 + ... + 833336.

It is an arithmetic number, because the mean of its divisors is an integer number (1784623500).

Almost surely, 2165382068600 is an apocalyptic number.

165382068600 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 165382068600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342647712000).

165382068600 is an abundant number, since it is smaller than the sum of its proper divisors (519913355400).

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

165382068600 is a wasteful number, since it uses less digits than its factorization.

165382068600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230324 (or 230309 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 165382068600 in words is "one hundred sixty-five billion, three hundred eighty-two million, sixty-eight thousand, six hundred".