Search a number
-
+
64162217088 = 27321724392
BaseRepresentation
bin111011110000010111…
…011011110010000000
320010121120112100012200
4323300113123302000
52022401011421323
645250430553200
74430666563254
oct736027336200
9203546470180
1064162217088
11252359983a2
1210527968800
136086b67538
143169592264
151a07d6c443
hexef05dbc80

64162217088 has 216 divisors, whose sum is σ = 196580915505. Its totient is φ = 20083470336.

The previous prime is 64162217059. The next prime is 64162217089. The reversal of 64162217088 is 88071226146.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

64162217088 is a `hidden beast` number, since 6 + 4 + 1 + 622 + 17 + 0 + 8 + 8 = 666.

64162217088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 58722859584 + 5439357504 = 242328^2 + 73752^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=179112.

It is not an unprimeable number, because it can be changed into a prime (64162217089) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 146155173 + ... + 146155611.

Almost surely, 264162217088 is an apocalyptic number.

64162217088 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64162217088

64162217088 is an abundant number, since it is smaller than the sum of its proper divisors (132418698417).

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

64162217088 is an equidigital number, since it uses as much as digits as its factorization.

64162217088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 64162217088 in words is "sixty-four billion, one hundred sixty-two million, two hundred seventeen thousand, eighty-eight".