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28138170750 = 23532910112809
BaseRepresentation
bin11010001101001010…
…100110100101111110
32200121222221011210020
4122031022212211332
5430111332431000
620532042353010
72014201335144
oct321512464576
980558834706
1028138170750
1110a2a29a178
1255534bb766
1328657375a1
14150d079594
15aea45aba0
hex68d2a697e

28138170750 has 128 divisors (see below), whose sum is σ = 73379779200. Its totient is φ = 7172480000.

The previous prime is 28138170713. The next prime is 28138170751. The reversal of 28138170750 is 5707183182.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28138170751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2190346 + ... + 2203154.

It is an arithmetic number, because the mean of its divisors is an integer number (573279525).

Almost surely, 228138170750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28138170750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36689889600).

28138170750 is an abundant number, since it is smaller than the sum of its proper divisors (45241608450).

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

28138170750 is a wasteful number, since it uses less digits than its factorization.

28138170750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12959 (or 12949 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The spelling of 28138170750 in words is "twenty-eight billion, one hundred thirty-eight million, one hundred seventy thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 75 87 101 125 145 150 174 202 250 290 303 375 435 505 606 725 750 870 1010 1450 1515 2175 2525 2929 3030 3625 4350 5050 5858 7250 7575 8787 10875 12625 12809 14645 15150 17574 21750 25250 25618 29290 37875 38427 43935 64045 73225 75750 76854 87870 128090 146450 192135 219675 320225 366125 371461 384270 439350 640450 732250 742922 960675 1098375 1114383 1293709 1601125 1857305 1921350 2196750 2228766 2587418 3202250 3714610 3881127 4803375 5571915 6468545 7762254 9286525 9606750 11143830 12937090 18573050 19405635 27859575 32342725 37517561 38811270 46432625 55719150 64685450 75035122 92865250 97028175 112552683 139297875 161713625 187587805 194056350 225105366 278595750 323427250 375175610 485140875 562763415 937939025 970281750 1125526830 1875878050 2813817075 4689695125 5627634150 9379390250 14069085375 28138170750