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2668048425 = 3252717251397
BaseRepresentation
bin1001111100000111…
…0011000000101001
320212221101220101100
42133001303000221
520431010022200
61120425312013
7123055015560
oct23701630051
96787356340
102668048425
11114a0532a9
12625635609
133369aa3a3
141b44b6bd7
15109372d00
hex9f073029

2668048425 has 144 divisors (see below), whose sum is σ = 5820377472. Its totient is φ = 1140480000.

The previous prime is 2668048417. The next prime is 2668048441. The reversal of 2668048425 is 5248408662.

It is not a de Polignac number, because 2668048425 - 23 = 2668048417 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6720327 + ... + 6720723.

It is an arithmetic number, because the mean of its divisors is an integer number (40419288).

Almost surely, 22668048425 is an apocalyptic number.

2668048425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2668048425 is an abundant number, since it is smaller than the sum of its proper divisors (3152329047).

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

2668048425 is a wasteful number, since it uses less digits than its factorization.

2668048425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 2668048425 is about 51653.1550343249. The cubic root of 2668048425 is about 1386.9620217740.

The spelling of 2668048425 in words is "two billion, six hundred sixty-eight million, forty-eight thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 35 45 51 63 75 85 105 119 153 175 225 251 255 315 357 397 425 525 595 753 765 1071 1191 1255 1275 1575 1757 1785 1985 2259 2779 2975 3573 3765 3825 4267 5271 5355 5955 6275 6749 8337 8785 8925 9925 11295 12801 13895 15813 17865 18825 20247 21335 25011 26355 26775 29775 29869 33745 38403 41685 43925 47243 56475 60741 64005 69475 79065 89325 89607 99647 101235 106675 125055 131775 141729 149345 168725 192015 208425 236215 268821 298941 303705 320025 395325 425187 448035 498235 506175 625275 697529 708645 746725 896823 960075 1181075 1344105 1494705 1518525 1693999 2092587 2125935 2240175 2491175 3487645 3543225 4484115 5081997 6277761 6720525 7473525 8469995 10462935 10629675 11857993 15245991 17438225 22420575 25409985 31388805 35573979 42349975 52314675 59289965 76229955 106721937 127049925 156944025 177869895 296449825 381149775 533609685 889349475 2668048425