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2425266168 = 2331397127631
BaseRepresentation
bin1001000010001110…
…1001111111111000
320021000120021201220
42100203221333320
514431332004133
61040353512040
7114046264563
oct22043517770
96230507656
102425266168
111034aaa406
12578272620
132c85c4050
141901594da
15e2db75b3
hex908e9ff8

2425266168 has 128 divisors (see below), whose sum is σ = 6659358720. Its totient is φ = 731566080.

The previous prime is 2425266163. The next prime is 2425266197. The reversal of 2425266168 is 8616625242.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2425266163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3843213 + ... + 3843843.

It is an arithmetic number, because the mean of its divisors is an integer number (52026240).

Almost surely, 22425266168 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 2425266168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3329679360).

2425266168 is an abundant number, since it is smaller than the sum of its proper divisors (4234092552).

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

2425266168 is a wasteful number, since it uses less digits than its factorization.

2425266168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 873 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 2425266168 is about 49246.9914614081. The cubic root of 2425266168 is about 1343.5478434001.

The spelling of 2425266168 in words is "two billion, four hundred twenty-five million, two hundred sixty-six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 97 104 127 156 194 254 291 312 381 388 508 582 631 762 776 1016 1164 1261 1262 1524 1651 1893 2328 2522 2524 3048 3302 3783 3786 4953 5044 5048 6604 7566 7572 8203 9906 10088 12319 13208 15132 15144 16406 19812 24609 24638 30264 32812 36957 39624 49218 49276 61207 65624 73914 80137 98436 98552 122414 147828 160147 160274 183621 196872 240411 244828 295656 320294 320548 367242 480441 480822 489656 640588 641096 734484 795691 960882 961644 1041781 1281176 1468968 1591382 1921764 1923288 2083562 2387073 3125343 3182764 3843528 4167124 4774146 6250686 6365528 7773289 8334248 9548292 12501372 15546578 19096584 23319867 25002744 31093156 46639734 62186312 93279468 101052757 186558936 202105514 303158271 404211028 606316542 808422056 1212633084 2425266168