Search a number
-
+
2555712068 = 22713172317957
BaseRepresentation
bin1001100001010101…
…0001001001000100
320121010000121212112
42120111101021010
520213230241233
61101333440152
7120222123410
oct23025211104
96533017775
102555712068
1110a16a6338
125b3aa0058
13319637780
141a35d3d40
15ee583048
hex98551244

2555712068 has 96 divisors (see below), whose sum is σ = 6082159104. Its totient is φ = 910153728.

The previous prime is 2555712067. The next prime is 2555712077. The reversal of 2555712068 is 8602175552.

It is not an unprimeable number, because it can be changed into a prime (2555712067) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 133346 + ... + 151302.

It is an arithmetic number, because the mean of its divisors is an integer number (63355824).

Almost surely, 22555712068 is an apocalyptic number.

2555712068 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2555712068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041079552).

2555712068 is an abundant number, since it is smaller than the sum of its proper divisors (3526447036).

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

2555712068 is a wasteful number, since it uses less digits than its factorization.

2555712068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18021 (or 18019 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 41.

The square root of 2555712068 is about 50554.0509553883. The cubic root of 2555712068 is about 1367.2165533648.

The spelling of 2555712068 in words is "two billion, five hundred fifty-five million, seven hundred twelve thousand, sixty-eight".

Divisors: 1 2 4 7 13 14 17 23 26 28 34 46 52 68 91 92 119 161 182 221 238 299 322 364 391 442 476 598 644 782 884 1196 1547 1564 2093 2737 3094 4186 5083 5474 6188 8372 10166 10948 17957 20332 35581 35914 71162 71828 125699 142324 233441 251398 305269 413011 466882 502796 610538 826022 933764 1221076 1634087 1652044 2136883 2891077 3268174 3968497 4273766 5369143 5782154 6536348 7021187 7936994 8547532 10738286 11564308 14042374 15873988 21476572 27779479 28084748 37584001 49148309 55558958 75168002 91275431 98296618 111117916 150336004 182550862 196593236 365101724 638928017 1277856034 2555712068