Search a number
-
+
64133015301 = 34791765621
BaseRepresentation
bin111011101110101000…
…000010011100000101
320010112112120201220000
4323232220002130011
52022321022442201
645243505031513
74430163430665
oct735650023405
9203475521800
1064133015301
1125220462693
121051a025599
136080ab1984
1431657501a5
151a054eed86
hexeeea02705

64133015301 has 10 divisors (see below), whose sum is σ = 95803640262. Its totient is φ = 42755343480.

The previous prime is 64133015293. The next prime is 64133015347. The reversal of 64133015301 is 10351033146.

64133015301 is a `hidden beast` number, since 641 + 3 + 3 + 0 + 15 + 3 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43691450625 + 20441564676 = 209025^2 + 142974^2 .

It is not a de Polignac number, because 64133015301 - 23 = 64133015293 is a prime.

It is a super-2 number, since 2×641330153012 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64133015101) 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 9 ways as a sum of consecutive naturals, for example, 395882730 + ... + 395882891.

Almost surely, 264133015301 is an apocalyptic number.

It is an amenable number.

64133015301 is a deficient number, since it is larger than the sum of its proper divisors (31670624961).

64133015301 is an equidigital number, since it uses as much as digits as its factorization.

64133015301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791765633 (or 791765624 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 64133015301 its reverse (10351033146), we get a palindrome (74484048447).

The spelling of 64133015301 in words is "sixty-four billion, one hundred thirty-three million, fifteen thousand, three hundred one".

Divisors: 1 3 9 27 81 791765621 2375296863 7125890589 21377671767 64133015301