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64154845146 = 2372220399053
BaseRepresentation
bin111011101111111011…
…010011111111011010
320010121001122210210210
4323233323103333122
52022342120021041
645250004551550
74430550120600
oct735773237732
9203531583723
1064154845146
1125231812787
12105253b25b6
136085485c42
1431685d3870
151a073b3016
hexeefed3fda

64154845146 has 48 divisors (see below), whose sum is σ = 149327470944. Its totient is φ = 18321450336.

The previous prime is 64154845133. The next prime is 64154845207.

64154845146 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×641548451463 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 64154845095 and 64154845104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598156 + ... + 697208.

It is an arithmetic number, because the mean of its divisors is an integer number (3110988978).

Almost surely, 264154845146 is an apocalyptic number.

64154845146 is an abundant number, since it is smaller than the sum of its proper divisors (85172625798).

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

64154845146 is a wasteful number, since it uses less digits than its factorization.

64154845146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101275 (or 101268 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 48.

The spelling of 64154845146 in words is "sixty-four billion, one hundred fifty-four million, eight hundred forty-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 2203 4406 6609 13218 15421 30842 46263 92526 99053 107947 198106 215894 297159 323841 594318 647682 693371 1386742 2080113 4160226 4853597 9707194 14560791 29121582 218213759 436427518 654641277 1309282554 1527496313 3054992626 4582488939 9164977878 10692474191 21384948382 32077422573 64154845146