Search a number
-
+
64144065423361 = 7113769122101823
BaseRepresentation
bin11101001010110101101000…
…01110111110100000000001
322102010010001012121000002011
432211122310032332200001
531401414021222021421
6344231213222252521
716340153511020230
oct1645326416764001
9272103035530064
1064144065423361
1119490388776630
12723b671887141
1329a39b4585c61
1411ba8371a8b17
157638036294e1
hex3a56b43be801

64144065423361 has 16 divisors (see below), whose sum is σ = 79973947219968. Its totient is φ = 49981060270800.

The previous prime is 64144065423349. The next prime is 64144065423379. The reversal of 64144065423361 is 16332456044146.

It is a cyclic number.

It is not a de Polignac number, because 64144065423361 - 29 = 64144065422849 is a prime.

It is a super-2 number, since 2×641440654233612 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64144065423331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8148705 + ... + 13953118.

It is an arithmetic number, because the mean of its divisors is an integer number (4998371701248).

Almost surely, 264144065423361 is an apocalyptic number.

It is an amenable number.

64144065423361 is a deficient number, since it is larger than the sum of its proper divisors (15829881796607).

64144065423361 is a wasteful number, since it uses less digits than its factorization.

64144065423361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22139532.

The product of its (nonzero) digits is 4976640, while the sum is 49.

The spelling of 64144065423361 in words is "sixty-four trillion, one hundred forty-four billion, sixty-five million, four hundred twenty-three thousand, three hundred sixty-one".

Divisors: 1 7 11 77 37691 263837 414601 2902207 22101823 154712761 243120053 1701840371 833039810693 5831278674851 9163437917623 64144065423361