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64186268146 = 271121318116103
BaseRepresentation
bin111011110001110011…
…001011100111110010
320010200020210021001121
4323301303023213302
52022423141040041
645253050252454
74431411164050
oct736163134762
9203606707047
1064186268146
1125248525300
1210533a2712a
13608bb38830
14316c8531d0
151a0a01d7d1
hexef1ccb9f2

64186268146 has 96 divisors (see below), whose sum is σ = 130977310464. Its totient is φ = 22955011200.

The previous prime is 64186268129. The next prime is 64186268147.

It is a happy number.

64186268146 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 64186268093 and 64186268102.

It is not an unprimeable number, because it can be changed into a prime (64186268147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3977931 + ... + 3994033.

It is an arithmetic number, because the mean of its divisors is an integer number (1364346984).

Almost surely, 264186268146 is an apocalyptic number.

64186268146 is an abundant number, since it is smaller than the sum of its proper divisors (66791042318).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64186268146 is a wasteful number, since it uses less digits than its factorization.

64186268146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16328 (or 16317 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 52.

The spelling of 64186268146 in words is "sixty-four billion, one hundred eighty-six million, two hundred sixty-eight thousand, one hundred forty-six".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 181 182 242 286 362 847 1001 1267 1573 1694 1991 2002 2353 2534 3146 3982 4706 11011 13937 16103 16471 21901 22022 25883 27874 32206 32942 43802 51766 112721 153307 177133 181181 209339 225442 284713 306614 354266 362362 418678 569426 1239931 1465373 1948463 1992991 2302729 2479862 2914643 2930746 3896926 3985982 4605458 5829286 13639241 16119103 20402501 25330019 27278482 32061073 32238206 37890359 40805002 50660038 64122146 75780718 177310133 224427511 265232513 352671803 354620266 416793949 448855022 530465026 705343606 833587898 2468702621 2917557643 4584733439 4937405242 5835115286 9169466878 32093134073 64186268146