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65133211664 = 241723293137313
BaseRepresentation
bin111100101010001111…
…011111000000010000
320020010020121222100202
4330222033133000100
52031343100233124
645531034434332
74464030110243
oct745217370020
9206106558322
1065133211664
1125693aaaa54
1210758b929a8
1361b008a341
14321c50d25a
151a6321e5ae
hexf2a3df010

65133211664 has 320 divisors, whose sum is σ = 153401610240. Its totient is φ = 26568622080.

The previous prime is 65133211651. The next prime is 65133211667. The reversal of 65133211664 is 46611233156.

It is not an unprimeable number, because it can be changed into a prime (65133211667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 208093172 + ... + 208093484.

It is an arithmetic number, because the mean of its divisors is an integer number (479380032).

Almost surely, 265133211664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65133211664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76700805120).

65133211664 is an abundant number, since it is smaller than the sum of its proper divisors (88268398576).

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

65133211664 is a wasteful number, since it uses less digits than its factorization.

65133211664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 452 counting only the distinct ones).

The product of its digits is 77760, while the sum is 38.

The spelling of 65133211664 in words is "sixty-five billion, one hundred thirty-three million, two hundred eleven thousand, six hundred sixty-four".