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641446034312061 = 321123767156363947
BaseRepresentation
bin1001000111011001000100101…
…1000001001000101101111101
310010010011122100000111022222100
42101312101023001020231331
51133033422434240441221
610152124123510335313
7252052642462221246
oct22166211301105575
93103148300438870
10641446034312061
1117642580a9a6300
125bb3865705a539
13216bc141c81154
14b458221b01ccd
154e2573b695926
hex247644b048b7d

641446034312061 has 36 divisors (see below), whose sum is σ = 1018691106634656. Its totient is φ = 388651969619760.

The previous prime is 641446034312059. The next prime is 641446034312093. The reversal of 641446034312061 is 160213430644146.

641446034312061 is a `hidden beast` number, since 6 + 4 + 1 + 4 + 4 + 6 + 0 + 3 + 431 + 206 + 1 = 666.

It is not a de Polignac number, because 641446034312061 - 21 = 641446034312059 is a prime.

It is a super-2 number, since 2×6414460343120612 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 641446034311998 and 641446034312016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641446034312051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 74079711 + ... + 82284236.

It is an arithmetic number, because the mean of its divisors is an integer number (28296975184296).

Almost surely, 2641446034312061 is an apocalyptic number.

It is an amenable number.

641446034312061 is a deficient number, since it is larger than the sum of its proper divisors (377245072322595).

641446034312061 is a wasteful number, since it uses less digits than its factorization.

641446034312061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156367742 (or 156367728 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 641446034312061 in words is "six hundred forty-one trillion, four hundred forty-six billion, thirty-four million, three hundred twelve thousand, sixty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 3767 11301 33903 41437 124311 372933 455807 1367421 4102263 156363947 469091841 1407275523 1720003417 5160010251 15480030753 18920037587 56760112761 170280338283 589022988349 1767068965047 5301206895141 6479252871839 19437758615517 58313275846551 71271781590229 213815344770687 641446034312061