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85852505800 = 23521753476429
BaseRepresentation
bin100111111110100110…
…1010100011011001000
322012121012122011200001
41033331031110123020
52401311220141200
6103235021052344
76126335154505
oct1177515243310
9265535564601
1085852505800
1133456557336
121477b9b70b4
13813279b3b9
1442261524ac
1523771be76a
hex13fd3546c8

85852505800 has 96 divisors (see below), whose sum is σ = 215336831400. Its totient is φ = 31711047680.

The previous prime is 85852505797. The next prime is 85852505887. The reversal of 85852505800 is 850525858.

It can be written as a sum of positive squares in 12 ways, for example, as 14188144996 + 71664360804 = 119114^2 + 267702^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58015 + ... + 418414.

Almost surely, 285852505800 is an apocalyptic number.

It is an amenable number.

85852505800 is an abundant number, since it is smaller than the sum of its proper divisors (129484325600).

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

85852505800 is a wasteful number, since it uses less digits than its factorization.

85852505800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476515 (or 476506 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 46.

The spelling of 85852505800 in words is "eighty-five billion, eight hundred fifty-two million, five hundred five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 53 68 85 100 106 136 170 200 212 265 340 424 425 530 680 850 901 1060 1325 1700 1802 2120 2650 3400 3604 4505 5300 7208 9010 10600 18020 22525 36040 45050 90100 180200 476429 952858 1905716 2382145 3811432 4764290 8099293 9528580 11910725 16198586 19057160 23821450 25250737 32397172 40496465 47642900 50501474 64794344 80992930 95285800 101002948 126253685 161985860 202005896 202482325 252507370 323971720 404964650 429262529 505014740 631268425 809929300 858525058 1010029480 1262536850 1619858600 1717050116 2146312645 2525073700 3434100232 4292625290 5050147400 8585250580 10731563225 17170501160 21463126450 42926252900 85852505800