Search a number
-
+
64504622640546 = 23311108593640809
BaseRepresentation
bin11101010101010101001110…
…00111100110110110100010
322110101120201001121101212000
432222222213013212312202
531423320431343444141
6345105003050544430
716405206452551314
oct1652524707466642
9273346631541760
1064504622640546
111960a290937460
127299517738116
1329cb9b540b24a
1411d007cbab7b4
1576cda74075b6
hex3aaaa71e6da2

64504622640546 has 32 divisors (see below), whose sum is σ = 156374842766400. Its totient is φ = 19546855345440.

The previous prime is 64504622640529. The next prime is 64504622640551.

64504622640546 is a `hidden beast` number, since 6 + 4 + 5 + 0 + 4 + 6 + 226 + 405 + 4 + 6 = 666.

64504622640546 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 = 64504622640492 and 64504622640501.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54296819811 + ... + 54296820998.

It is an arithmetic number, because the mean of its divisors is an integer number (4886713836450).

Almost surely, 264504622640546 is an apocalyptic number.

64504622640546 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

64504622640546 is an abundant number, since it is smaller than the sum of its proper divisors (91870220125854).

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

64504622640546 is a wasteful number, since it uses less digits than its factorization.

64504622640546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108593640831 (or 108593640825 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 54.

The spelling of 64504622640546 in words is "sixty-four trillion, five hundred four billion, six hundred twenty-two million, six hundred forty thousand, five hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 108593640809 217187281618 325780922427 651561844854 977342767281 1194530048899 1954685534562 2389060097798 2932028301843 3583590146697 5864056603686 7167180293394 10750770440091 21501540880182 32252311320273 64504622640546