Search a number
-
+
64486355368446 = 232111033162025859
BaseRepresentation
bin11101010100110011001100…
…10011011111100111111110
322110022211112222111211102200
432222121212103133213332
531423021023433242241
6345052342255532330
716403662000366254
oct1652314623374776
9273284488454380
1064486355368446
11196025674a4570
127295a79b2a0a6
1329ca0639cb6bb
1411cd228a8a5d4
1576c6888574b6
hex3aa6664df9fe

64486355368446 has 48 divisors (see below), whose sum is σ = 153902122657920. Its totient is φ = 19351598250960.

The previous prime is 64486355368427. The next prime is 64486355368453.

It is a happy number.

64486355368446 is a `hidden beast` number, since 6 + 4 + 4 + 8 + 6 + 3 + 5 + 536 + 84 + 4 + 6 = 666.

64486355368446 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1580992536 + ... + 1581033323.

It is an arithmetic number, because the mean of its divisors is an integer number (3206294222040).

Almost surely, 264486355368446 is an apocalyptic number.

64486355368446 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

64486355368446 is an abundant number, since it is smaller than the sum of its proper divisors (89415767289474).

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

64486355368446 is a wasteful number, since it uses less digits than its factorization.

64486355368446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162025981 (or 3162025978 counting only the distinct ones).

The product of its digits is 4777574400, while the sum is 72.

The spelling of 64486355368446 in words is "sixty-four trillion, four hundred eighty-six billion, three hundred fifty-five million, three hundred sixty-eight thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 103 198 206 309 618 927 1133 1854 2266 3399 6798 10197 20394 3162025859 6324051718 9486077577 18972155154 28458232731 34782284449 56916465462 69564568898 104346853347 208693706694 313040560041 325688663477 626081120082 651377326954 977065990431 1954131980862 2931197971293 3582575298247 5862395942586 7165150596494 10747725894741 21495451789482 32243177684223 64486355368446