Search a number
-
+
6064048626400 = 255247161277889
BaseRepresentation
bin101100000111110010101…
…1101101101101011100000
3210110201100222022212222101
41120033211131231223200
51243323132422021100
620521441355220144
71164053530566322
oct130174535555340
923421328285871
106064048626400
111a288263a6446
1281b305747654
1334cab68057bb
1416d704253612
15a7b16d6886a
hex583e576dae0

6064048626400 has 72 divisors (see below), whose sum is σ = 15118834520160. Its totient is φ = 2374010511360.

The previous prime is 6064048626373. The next prime is 6064048626401. The reversal of 6064048626400 is 46268404606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6064048626401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80601345 + ... + 80676544.

It is an arithmetic number, because the mean of its divisors is an integer number (209983812780).

Almost surely, 26064048626400 is an apocalyptic number.

It is an amenable number.

6064048626400 is an abundant number, since it is smaller than the sum of its proper divisors (9054785893760).

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

6064048626400 is a wasteful number, since it uses less digits than its factorization.

6064048626400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161277956 (or 161277943 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 46.

The spelling of 6064048626400 in words is "six trillion, sixty-four billion, forty-eight million, six hundred twenty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 160 188 200 235 376 400 470 752 800 940 1175 1504 1880 2350 3760 4700 7520 9400 18800 37600 161277889 322555778 645111556 806389445 1290223112 1612778890 2580446224 3225557780 4031947225 5160892448 6451115560 7580060783 8063894450 12902231120 15160121566 16127788900 25804462240 30320243132 32255577800 37900303915 60640486264 64511155600 75800607830 121280972528 129022311200 151601215660 189501519575 242561945056 303202431320 379003039150 606404862640 758006078300 1212809725280 1516012156600 3032024313200 6064048626400