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164961879311 = 4129313731947
BaseRepresentation
bin1001100110100001111…
…1101000010100001111
3120202210110212201210202
42121220133220110033
510200320220114221
6203441001324115
714626623560435
oct2315037502417
9522713781722
10164961879311
1163a61753569
1227b7949663b
131272c23c198
147dac8d0d55
1544573b3d0b
hex26687e850f

164961879311 has 8 divisors (see below), whose sum is σ = 169562093904. Its totient is φ = 160389129280.

The previous prime is 164961879281. The next prime is 164961879319. The reversal of 164961879311 is 113978169461.

It is a happy number.

164961879311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-164961879311 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164961879319) 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 7 ways as a sum of consecutive naturals, for example, 6853961 + ... + 6877986.

It is an arithmetic number, because the mean of its divisors is an integer number (21195261738).

Almost surely, 2164961879311 is an apocalyptic number.

164961879311 is a deficient number, since it is larger than the sum of its proper divisors (4600214593).

164961879311 is a wasteful number, since it uses less digits than its factorization.

164961879311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13732281.

The product of its digits is 1959552, while the sum is 56.

The spelling of 164961879311 in words is "one hundred sixty-four billion, nine hundred sixty-one million, eight hundred seventy-nine thousand, three hundred eleven".

Divisors: 1 41 293 12013 13731947 563009827 4023460471 164961879311