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2445328160 = 255115923549
BaseRepresentation
bin1001000111000000…
…1011111100100000
320022102022112121122
42101300023330200
520002001000120
61042351511412
7114411642422
oct22160137440
96272275548
102445328160
111045362270
12582b28568
132cc7c9752
14192a9c812
15e4a2ba25
hex91c0bf20

2445328160 has 96 divisors (see below), whose sum is σ = 6409368000. Its totient is φ = 874101760.

The previous prime is 2445328157. The next prime is 2445328201. The reversal of 2445328160 is 618235442.

It is a self number, because there is not a number n which added to its sum of digits gives 2445328160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92066 + ... + 115614.

It is an arithmetic number, because the mean of its divisors is an integer number (66764250).

Almost surely, 22445328160 is an apocalyptic number.

2445328160 is a gapful number since it is divisible by the number (20) 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 2445328160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204684000).

2445328160 is an abundant number, since it is smaller than the sum of its proper divisors (3964039840).

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

2445328160 is a wasteful number, since it uses less digits than its factorization.

2445328160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23634 (or 23626 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 2445328160 is about 49450.2594533133. The cubic root of 2445328160 is about 1347.2423194373.

The spelling of 2445328160 in words is "two billion, four hundred forty-five million, three hundred twenty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 59 80 88 110 118 160 176 220 236 295 352 440 472 590 649 880 944 1180 1298 1760 1888 2360 2596 3245 4720 5192 6490 9440 10384 12980 20768 23549 25960 47098 51920 94196 103840 117745 188392 235490 259039 376784 470980 518078 753568 941960 1036156 1295195 1389391 1883920 2072312 2590390 2778782 3767840 4144624 5180780 5557564 6946955 8289248 10361560 11115128 13893910 15283301 20723120 22230256 27787820 30566602 41446240 44460512 55575640 61133204 76416505 111151280 122266408 152833010 222302560 244532816 305666020 489065632 611332040 1222664080 2445328160