Search a number
-
+
2556915712 = 21213311549
BaseRepresentation
bin1001100001100111…
…0111000000000000
320121012021202221221
42120121313000000
520214032300322
61101415324424
7120235265521
oct23031670000
96535252857
102556915712
1110a234868a
125b4380714
133199695a0
141a3828848
15ee71e9c7
hex98677000

2556915712 has 104 divisors (see below), whose sum is σ = 5687830400. Its totient is φ = 1141309440.

The previous prime is 2556915701. The next prime is 2556915797. The reversal of 2556915712 is 2175196552.

It is a tau number, because it is divible by the number of its divisors (104).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1649914 + ... + 1651462.

Almost surely, 22556915712 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 2556915712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843915200).

2556915712 is an abundant number, since it is smaller than the sum of its proper divisors (3130914688).

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

2556915712 is a wasteful number, since it uses less digits than its factorization.

2556915712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1595 counting only the distinct ones).

The product of its digits is 189000, while the sum is 43.

The square root of 2556915712 is about 50565.9540797956. The cubic root of 2556915712 is about 1367.4311554900.

The spelling of 2556915712 in words is "two billion, five hundred fifty-six million, nine hundred fifteen thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 403 416 496 512 806 832 992 1024 1549 1612 1664 1984 2048 3098 3224 3328 3968 4096 6196 6448 6656 7936 12392 12896 13312 15872 20137 24784 25792 26624 31744 40274 48019 49568 51584 53248 63488 80548 96038 99136 103168 126976 161096 192076 198272 206336 322192 384152 396544 412672 624247 644384 768304 793088 825344 1248494 1288768 1536608 1586176 1650688 2496988 2577536 3073216 3172352 4993976 5155072 6146432 6344704 9987952 10310144 12292864 19975904 20620288 24585728 39951808 41240576 49171456 79903616 82481152 98342912 159807232 196685824 319614464 639228928 1278457856 2556915712