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84480381700 = 2252111312014919
BaseRepresentation
bin100111010101101101…
…1000101001100000100
322002001120202001020221
41032223123011030010
52341003434203300
6102450523434124
76050334252631
oct1165333051404
9262046661227
1084480381700
1132911a78180
1214458385944
137c7442cb50
144135c19188
1522e69d431a
hex13ab6c5304

84480381700 has 144 divisors (see below), whose sum is σ = 215594951040. Its totient is φ = 28327680000.

The previous prime is 84480381509. The next prime is 84480381721. The reversal of 84480381700 is 718308448.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 17171841 + ... + 17176759.

It is an arithmetic number, because the mean of its divisors is an integer number (1497187160).

Almost surely, 284480381700 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 84480381700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107797475520).

84480381700 is an abundant number, since it is smaller than the sum of its proper divisors (131114569340).

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

84480381700 is a wasteful number, since it uses less digits than its factorization.

84480381700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6158 (or 6151 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The spelling of 84480381700 in words is "eighty-four billion, four hundred eighty million, three hundred eighty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 550 572 650 715 1100 1201 1300 1430 2402 2860 3575 4804 4919 6005 7150 9838 12010 13211 14300 15613 19676 24020 24595 26422 30025 31226 49190 52844 54109 60050 62452 63947 66055 78065 98380 108218 120100 122975 127894 132110 156130 171743 216436 245950 255788 264220 270545 312260 319735 330275 343486 390325 491900 541090 639470 660550 686972 703417 780650 858715 1082180 1278940 1321100 1352725 1406834 1561300 1598675 1717430 2705450 2813668 3197350 3434860 3517085 4293575 5410900 5907719 6394700 7034170 8587150 11815438 14068340 17174300 17585425 23630876 29538595 35170850 59077190 64984909 70341700 76800347 118154380 129969818 147692975 153600694 259939636 295385950 307201388 324924545 384001735 590771900 649849090 768003470 844803817 1299698180 1536006940 1624622725 1689607634 1920008675 3249245450 3379215268 3840017350 4224019085 6498490900 7680034700 8448038170 16896076340 21120095425 42240190850 84480381700