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165142015011 = 32374330737567
BaseRepresentation
bin1001100111001100111…
…0110010110000100011
3120210021000211120112100
42121303032302300203
510201202323440021
6203510514301443
714634241652421
oct2316316626043
9523230746470
10165142015011
11640443a9146
1228009887883
131275a65ca5c
147dc87c2111
1544680e7626
hex26733b2c23

165142015011 has 48 divisors (see below), whose sum is σ = 251506038784. Its totient is φ = 104284418112.

The previous prime is 165142014997. The next prime is 165142015013. The reversal of 165142015011 is 110510241561.

165142015011 is a `hidden beast` number, since 1 + 651 + 4 + 2 + 0 + 1 + 5 + 0 + 1 + 1 = 666.

165142015011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 165142015011 - 27 = 165142014883 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (165142015013) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4377150 + ... + 4414716.

Almost surely, 2165142015011 is an apocalyptic number.

165142015011 is a deficient number, since it is larger than the sum of its proper divisors (86364023773).

165142015011 is a wasteful number, since it uses less digits than its factorization.

165142015011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37960 (or 37957 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

Adding to 165142015011 its reverse (110510241561), we get a palindrome (275652256572).

The spelling of 165142015011 in words is "one hundred sixty-five billion, one hundred forty-two million, fifteen thousand, eleven".

Divisors: 1 3 9 37 43 111 129 307 333 387 921 1591 2763 4773 11359 13201 14319 34077 37567 39603 102231 112701 118809 338103 488437 1389979 1465311 1615381 4169937 4395933 4846143 11533069 12509811 14538429 34599207 59769097 103797621 179307291 426723553 495921967 537921873 1280170659 1487765901 3840511977 4463297703 18349112779 55047338337 165142015011