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17253020240 = 245318978167
BaseRepresentation
bin10000000100010111…
…000011001001010000
31122112101121020102122
4100010113003021100
5240313233121430
611532000033412
71150355152361
oct200427031120
948471536378
1017253020240
117353975515
123416002868
13181c552721
14b99543b68
156aea05ee5
hex4045c3250

17253020240 has 80 divisors (see below), whose sum is σ = 41873034240. Its totient is φ = 6603463680.

The previous prime is 17253020227. The next prime is 17253020263. The reversal of 17253020240 is 4202035271.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 181637 + ... + 259803.

It is an arithmetic number, because the mean of its divisors is an integer number (523412928).

Almost surely, 217253020240 is an apocalyptic number.

17253020240 is a gapful number since it is divisible by the number (10) 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 17253020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20936517120).

17253020240 is an abundant number, since it is smaller than the sum of its proper divisors (24620014000).

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

17253020240 is a wasteful number, since it uses less digits than its factorization.

17253020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78300 (or 78294 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The spelling of 17253020240 in words is "seventeen billion, two hundred fifty-three million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 89 124 155 178 248 310 356 445 496 620 712 890 1240 1424 1780 2480 2759 3560 5518 7120 11036 13795 22072 27590 44144 55180 78167 110360 156334 220720 312668 390835 625336 781670 1250672 1563340 2423177 3126680 4846354 6253360 6956863 9692708 12115885 13913726 19385416 24231770 27827452 34784315 38770832 48463540 55654904 69568630 96927080 111309808 139137260 193854160 215662753 278274520 431325506 556549040 862651012 1078313765 1725302024 2156627530 3450604048 4313255060 8626510120 17253020240