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85353802920 = 23335471681517
BaseRepresentation
bin100111101111101111…
…0111010110010101000
322011022110020102221000
41033133132322302220
52344301033143140
6103113324115000
76111101232321
oct1173736726250
9264273212830
1085353802920
113321aaa64a1
1214660995a60
13808337b839
1441b9c17448
152348510a30
hex13df7baca8

85353802920 has 128 divisors (see below), whose sum is σ = 290566310400. Its totient is φ = 22276723968.

The previous prime is 85353802901. The next prime is 85353802927. The reversal of 85353802920 is 2920835358.

85353802920 is a `hidden beast` number, since 8 + 5 + 353 + 8 + 0 + 292 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (85353802927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 789999 + ... + 891518.

It is an arithmetic number, because the mean of its divisors is an integer number (2270049300).

Almost surely, 285353802920 is an apocalyptic number.

It is an amenable number.

85353802920 is an abundant number, since it is smaller than the sum of its proper divisors (205212507480).

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

85353802920 is a wasteful number, since it uses less digits than its factorization.

85353802920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681584 (or 1681574 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 85353802920 in words is "eighty-five billion, three hundred fifty-three million, eight hundred two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 47 54 60 72 90 94 108 120 135 141 180 188 216 235 270 282 360 376 423 470 540 564 705 846 940 1080 1128 1269 1410 1692 1880 2115 2538 2820 3384 4230 5076 5640 6345 8460 10152 12690 16920 25380 50760 1681517 3363034 5044551 6726068 8407585 10089102 13452136 15133653 16815170 20178204 25222755 30267306 33630340 40356408 45400959 50445510 60534612 67260680 75668265 79031299 90801918 100891020 121069224 151336530 158062598 181603836 201782040 227004795 237093897 302673060 316125196 363207672 395156495 454009590 474187794 605346120 632250392 711281691 790312990 908019180 948375588 1185469485 1422563382 1580625980 1816038360 1896751176 2133845073 2370938970 2845126764 3161251960 3556408455 4267690146 4741877940 5690253528 7112816910 8535380292 9483755880 10669225365 14225633820 17070760584 21338450730 28451267640 42676901460 85353802920