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64355724740106 = 23219188174633743
BaseRepresentation
bin11101010000111111111000…
…00111001100011000001010
322102212100101002221100100200
432220133330013030120022
531413401011013140411
6344512340052113030
716361355565356312
oct1650377407143012
9272770332840320
1064355724740106
1119562122957a98
1272746a2005776
1329ba946296307
1411c6b95944442
15769090475e56
hex3a87fc1cc60a

64355724740106 has 24 divisors (see below), whose sum is σ = 146776214320320. Its totient is φ = 20322860444136.

The previous prime is 64355724740063. The next prime is 64355724740107. The reversal of 64355724740106 is 60104742755346.

64355724740106 is a `hidden beast` number, since 6 + 4 + 3 + 557 + 2 + 4 + 74 + 0 + 10 + 6 = 666.

64355724740106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×643557247401063 (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (64355724740107) 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 11 ways as a sum of consecutive naturals, for example, 94087316530 + ... + 94087317213.

It is an arithmetic number, because the mean of its divisors is an integer number (6115675596680).

Almost surely, 264355724740106 is an apocalyptic number.

64355724740106 is an abundant number, since it is smaller than the sum of its proper divisors (82420489580214).

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

64355724740106 is a wasteful number, since it uses less digits than its factorization.

64355724740106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188174633770 (or 188174633767 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 64355724740106 in words is "sixty-four trillion, three hundred fifty-five billion, seven hundred twenty-four million, seven hundred forty thousand, one hundred six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 188174633743 376349267486 564523901229 1129047802458 1693571703687 3387143407374 3575318041117 7150636082234 10725954123351 21451908246702 32177862370053 64355724740106