Search a number
-
+
64419691446 = 23311257421987
BaseRepresentation
bin111011111111101101…
…100111101110110110
320011021112000101122000
4323333231213232312
52023412420111241
645332145320130
74440244225335
oct737755475666
9204245011560
1064419691446
1125358266720
121059a036046
1360c82c6026
143191855d1c
151a2077aeb6
hexeffb67bb6

64419691446 has 64 divisors (see below), whose sum is σ = 156776981760. Its totient is φ = 19445114880.

The previous prime is 64419691433. The next prime is 64419691487.

64419691446 is a `hidden beast` number, since 6 + 4 + 4 + 196 + 9 + 1 + 446 = 666.

64419691446 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 64419691392 and 64419691401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58336 + ... + 363651.

It is an arithmetic number, because the mean of its divisors is an integer number (2449640340).

Almost surely, 264419691446 is an apocalyptic number.

64419691446 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

64419691446 is an abundant number, since it is smaller than the sum of its proper divisors (92357290314).

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

64419691446 is a wasteful number, since it uses less digits than its factorization.

64419691446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422266 (or 422260 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 64419691446 in words is "sixty-four billion, four hundred nineteen million, six hundred ninety-one thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 257 297 514 594 771 1542 2313 2827 4626 5654 6939 8481 13878 16962 25443 50886 76329 152658 421987 843974 1265961 2531922 3797883 4641857 7595766 9283714 11393649 13925571 22787298 27851142 41776713 83553426 108450659 125330139 216901318 250660278 325351977 650703954 976055931 1192957249 1952111862 2385914498 2928167793 3578871747 5856335586 7157743494 10736615241 21473230482 32209845723 64419691446