Search a number
-
+
164140823637 = 3273317871329
BaseRepresentation
bin1001100011011110001…
…1100011010001010101
3120200200020220210011100
42120313203203101111
510142130022324022
6203223311300313
714600363660220
oct2306743432125
9520606823140
10164140823637
116368024125a
122798a51a699
131262b0c651b
147d318445b7
15440a27d1ac
hex26378e3455

164140823637 has 24 divisors (see below), whose sum is σ = 271781282240. Its totient is φ = 93511376640.

The previous prime is 164140823633. The next prime is 164140823641. The reversal of 164140823637 is 736328041461.

164140823637 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 4 + 0 + 8 + 2 + 3 + 637 = 666.

164140823637 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164140823633) and next prime (164140823641).

It is not a de Polignac number, because 164140823637 - 22 = 164140823633 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164140823592 and 164140823601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164140823633) 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 23 ways as a sum of consecutive naturals, for example, 3914812 + ... + 3956517.

Almost surely, 2164140823637 is an apocalyptic number.

It is an amenable number.

164140823637 is a deficient number, since it is larger than the sum of its proper divisors (107640458603).

164140823637 is a wasteful number, since it uses less digits than its factorization.

164140823637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7871673 (or 7871670 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 164140823637 in words is "one hundred sixty-four billion, one hundred forty million, eight hundred twenty-three thousand, six hundred thirty-seven".

Divisors: 1 3 7 9 21 63 331 993 2317 2979 6951 20853 7871329 23613987 55099303 70841961 165297909 495893727 2605409899 7816229697 18237869293 23448689091 54713607879 164140823637