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6406266064 = 2411314212789
BaseRepresentation
bin1011111011101011…
…11101110011010000
3121112110112000221111
411331311331303100
5101110001003224
62535404303104
7314516235352
oct57565756320
917473460844
106406266064
112798196570
1212a9541a94
137b12c24a3
1444ab650d2
15277637d94
hex17dd7dcd0

6406266064 has 80 divisors (see below), whose sum is σ = 14015531520. Its totient is φ = 2810304000.

The previous prime is 6406266059. The next prime is 6406266067. The reversal of 6406266064 is 4606626046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6406266067) 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, 2295582 + ... + 2298370.

It is an arithmetic number, because the mean of its divisors is an integer number (175194144).

Almost surely, 26406266064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6406266064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7007765760).

6406266064 is an abundant number, since it is smaller than the sum of its proper divisors (7609265456).

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

6406266064 is a wasteful number, since it uses less digits than its factorization.

6406266064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The square root of 6406266064 is about 80039.1533188601. The cubic root of 6406266064 is about 1857.2412627349.

The spelling of 6406266064 in words is "six billion, four hundred six million, two hundred sixty-six thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 421 496 682 842 1364 1684 2728 2789 3368 4631 5456 5578 6736 9262 11156 13051 18524 22312 26102 30679 37048 44624 52204 61358 74096 86459 104408 122716 143561 172918 208816 245432 287122 345836 490864 574244 691672 951049 1148488 1174169 1383344 1902098 2296976 2348338 3804196 4696676 7608392 9393352 12915859 15216784 18786704 25831718 36399239 51663436 72798478 103326872 145596956 206653744 291193912 400391629 582387824 800783258 1601566516 3203133032 6406266064