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64354322345346 = 23311532044162453
BaseRepresentation
bin11101010000111101010001…
…00001011110110110000010
322102212012202101002022102000
432220132220201132312002
531413340123010022341
6344511544554004430
716361306046250665
oct1650365041366602
9272765671068360
1064354322345346
1119561573283060
127274370416716
1329ba781889827
1411c6aa15ab6dc
1576900c2ab8b6
hex3a87a885ed82

64354322345346 has 64 divisors (see below), whose sum is σ = 158954072423040. Its totient is φ = 19133360550720.

The previous prime is 64354322345311. The next prime is 64354322345347.

It is a happy number.

64354322345346 is a `hidden beast` number, since 6 + 4 + 3 + 54 + 3 + 22 + 34 + 534 + 6 = 666.

64354322345346 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 64354322345292 and 64354322345301.

It is not an unprimeable number, because it can be changed into a prime (64354322345347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1022049745 + ... + 1022112708.

It is an arithmetic number, because the mean of its divisors is an integer number (2483657381610).

Almost surely, 264354322345346 is an apocalyptic number.

64354322345346 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

64354322345346 is an abundant number, since it is smaller than the sum of its proper divisors (94599750077694).

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

64354322345346 is a wasteful number, since it uses less digits than its factorization.

64354322345346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044162528 (or 2044162522 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 54.

The spelling of 64354322345346 in words is "sixty-four trillion, three hundred fifty-four billion, three hundred twenty-two million, three hundred forty-five thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 53 54 66 99 106 159 198 297 318 477 583 594 954 1166 1431 1749 2862 3498 5247 10494 15741 31482 2044162453 4088324906 6132487359 12264974718 18397462077 22485786983 36794924154 44971573966 55192386231 67457360949 108340610009 110384772462 134914721898 202372082847 216681220018 325021830027 404744165694 607116248541 650043660054 975065490081 1191746710099 1214232497082 1950130980162 2383493420198 2925196470243 3575240130297 5850392940486 7150480260594 10725720390891 21451440781782 32177161172673 64354322345346