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165366642 = 23723295903
BaseRepresentation
bin10011101101101…
…00101101110010
3102112011111101110
421312310231302
5314313213032
624224214150
74045410330
oct1166645562
9375144343
10165366642
1185388451
124746a356
132834c3ac
1417d68b50
15e7b77cc
hex9db4b72

165366642 has 64 divisors (see below), whose sum is σ = 408084480. Its totient is φ = 43627584.

The previous prime is 165366637. The next prime is 165366661. The reversal of 165366642 is 246663561.

It is a super-2 number, since 2×1653666422 = 54692252572712328, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 165366642.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25063 + ... + 30965.

It is an arithmetic number, because the mean of its divisors is an integer number (6376320).

Almost surely, 2165366642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165366642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204042240).

165366642 is an abundant number, since it is smaller than the sum of its proper divisors (242717838).

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

165366642 is a wasteful number, since it uses less digits than its factorization.

165366642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5967.

The product of its digits is 155520, while the sum is 39.

The square root of 165366642 is about 12859.4961798665. The cubic root of 165366642 is about 548.8866093402.

The spelling of 165366642 in words is "one hundred sixty-five million, three hundred sixty-six thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 14 21 23 29 42 46 58 69 87 138 161 174 203 322 406 483 609 667 966 1218 1334 2001 4002 4669 5903 9338 11806 14007 17709 28014 35418 41321 82642 123963 135769 171187 247926 271538 342374 407307 513561 814614 950383 1027122 1198309 1900766 2396618 2851149 3594927 3937301 5702298 7189854 7874602 11811903 23623806 27561107 55122214 82683321 165366642