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165000656041 = 13231786330893
BaseRepresentation
bin1001100110101011001…
…1100011010010101001
3120202220011211210110221
42121222303203102221
510200410131443131
6203444504410041
714630604302224
oct2315263432251
9522804753427
10165000656041
1163a81629051
1227b8a476921
1312737297cb0
147db3b065bb
15445a9c3411
hex266ace34a9

165000656041 has 16 divisors (see below), whose sum is σ = 185435179776. Its totient is φ = 145673326656.

The previous prime is 165000656003. The next prime is 165000656059. The reversal of 165000656041 is 140656000561.

It is a happy number.

165000656041 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 165000656041 - 27 = 165000655913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 165000655988 and 165000656006.

It is not an unprimeable number, because it can be changed into a prime (165000656071) 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 15 ways as a sum of consecutive naturals, for example, 5325591 + ... + 5356483.

It is an arithmetic number, because the mean of its divisors is an integer number (11589698736).

Almost surely, 2165000656041 is an apocalyptic number.

It is an amenable number.

165000656041 is a deficient number, since it is larger than the sum of its proper divisors (20434523735).

165000656041 is a wasteful number, since it uses less digits than its factorization.

165000656041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48792.

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 165000656041 in words is "one hundred sixty-five billion, six hundred fifty-six thousand, forty-one".

Divisors: 1 13 23 299 17863 30893 232219 401609 410849 710539 5341037 9237007 551841659 7173941567 12692358157 165000656041