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165021442542 = 232113541235369
BaseRepresentation
bin1001100110110000001…
…0110110000111101110
3120202221121221212012100
42121230002312013232
510200430442130132
6203450530115530
714631246055245
oct2315402660756
9522847855170
10165021442542
1163a92336280
1227b9541bba6
131273b6953b8
147db679795c
15445c72c37c
hex266c0b61ee

165021442542 has 48 divisors (see below), whose sum is σ = 390162492720. Its totient is φ = 49992163200.

The previous prime is 165021442529. The next prime is 165021442609. The reversal of 165021442542 is 245244120561.

165021442542 is a `hidden beast` number, since 1 + 6 + 50 + 21 + 4 + 42 + 542 = 666.

165021442542 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 165021442497 and 165021442506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 583434 + ... + 818802.

It is an arithmetic number, because the mean of its divisors is an integer number (8128385265).

Almost surely, 2165021442542 is an apocalyptic number.

165021442542 is an abundant number, since it is smaller than the sum of its proper divisors (225141050178).

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

165021442542 is a wasteful number, since it uses less digits than its factorization.

165021442542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238929 (or 238926 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 165021442542 in words is "one hundred sixty-five billion, twenty-one million, four hundred forty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 3541 7082 10623 21246 31869 38951 63738 77902 116853 233706 235369 350559 470738 701118 706107 1412214 2118321 2589059 4236642 5178118 7767177 15534354 23301531 46603062 833441629 1666883258 2500324887 5000649774 7500974661 9167857919 15001949322 18335715838 27503573757 55007147514 82510721271 165021442542