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64624064341201 = 2934093931137183
BaseRepresentation
bin11101011000110011101100…
…11001100010010011010001
322110211000000011020110121221
432230121312121202103101
531432300040432404301
6345235515121045041
716416635362344661
oct1654316631422321
9273730004213557
1064624064341201
1119655a03635a62
1272b86b0486781
132a0a03ba3a671
1411d5b6dd041a1
1577104837ada1
hex3ac6766624d1

64624064341201 has 16 divisors (see below), whose sum is σ = 65020178603520. Its totient is φ = 64229226975360.

The previous prime is 64624064341163. The next prime is 64624064341229. The reversal of 64624064341201 is 10214346042646.

64624064341201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 64624064341201 - 229 = 64623527470289 is a prime.

It is a super-3 number, since 3×646240643412013 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64624064341601) 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 15 ways as a sum of consecutive naturals, for example, 471010656 + ... + 471147838.

It is an arithmetic number, because the mean of its divisors is an integer number (4063761162720).

Almost surely, 264624064341201 is an apocalyptic number.

It is an amenable number.

64624064341201 is a deficient number, since it is larger than the sum of its proper divisors (396114262319).

64624064341201 is a wasteful number, since it uses less digits than its factorization.

64624064341201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141816.

The product of its (nonzero) digits is 663552, while the sum is 43.

The spelling of 64624064341201 in words is "sixty-four trillion, six hundred twenty-four billion, sixty-four million, three hundred forty-one thousand, two hundred one".

Divisors: 1 293 409 3931 119837 137183 1151783 1607779 40194619 56107847 471079247 539266373 16439599171 158005047289 220559946557 64624064341201