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64132386045 = 3572137984961
BaseRepresentation
bin111011101110100101…
…101000110011111101
320010112111101202201020
4323232211220303331
52022320342323140
645243443334353
74430155200300
oct735645506375
9203474352636
1064132386045
1125220072942
12105199813b9
136080921430
143165628b37
151a054286d0
hexeee968cfd

64132386045 has 96 divisors (see below), whose sum is σ = 130175377920. Its totient is φ = 26719580160.

The previous prime is 64132386011. The next prime is 64132386067. The reversal of 64132386045 is 54068323146.

It is not a de Polignac number, because 64132386045 - 28 = 64132385789 is a prime.

It is a super-2 number, since 2×641323860452 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64132385988 and 64132386006.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 712365 + ... + 797325.

It is an arithmetic number, because the mean of its divisors is an integer number (1355993520).

Almost surely, 264132386045 is an apocalyptic number.

64132386045 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

64132386045 is an abundant number, since it is smaller than the sum of its proper divisors (66042991875).

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

64132386045 is a wasteful number, since it uses less digits than its factorization.

64132386045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85075 (or 85068 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 64132386045 in words is "sixty-four billion, one hundred thirty-two million, three hundred eighty-six thousand, forty-five".

Divisors: 1 3 5 7 13 15 21 35 39 49 65 79 91 105 147 195 237 245 273 395 455 553 637 735 1027 1185 1365 1659 1911 2765 3081 3185 3871 5135 7189 8295 9555 11613 15405 19355 21567 35945 50323 58065 84961 107835 150969 251615 254883 424805 594727 754845 1104493 1274415 1784181 2973635 3313479 4163089 5522465 6711919 7731451 8920905 12489267 16567395 20135757 20815445 23194353 33559595 38657255 46983433 54120157 62446335 87254947 100678785 115971765 140950299 162360471 234917165 261764841 270600785 328884031 436274735 610784629 704751495 811802355 986652093 1308824205 1644420155 1832353887 3053923145 4275492403 4933260465 9161769435 12826477209 21377462015 64132386045