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82870931700 = 223252239385267
BaseRepresentation
bin100110100101101111…
…1100001000011110100
321220220102021111220200
41031023133201003310
52324204424303300
6102023111400500
75662422203604
oct1151337410364
9256812244820
1082870931700
1132166531607
1214089383130
137a78b6897b
144022184c04
15225056a200
hex134b7e10f4

82870931700 has 108 divisors (see below), whose sum is σ = 260841846720. Its totient is φ = 22006393920.

The previous prime is 82870931687. The next prime is 82870931729. The reversal of 82870931700 is 713907828.

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 22467 + ... + 407733.

Almost surely, 282870931700 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 82870931700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130420923360).

82870931700 is an abundant number, since it is smaller than the sum of its proper divisors (177970915020).

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

82870931700 is a wasteful number, since it uses less digits than its factorization.

82870931700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385526 (or 385516 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 82870931700 in words is "eighty-two billion, eight hundred seventy million, nine hundred thirty-one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 239 300 450 478 717 900 956 1195 1434 2151 2390 2868 3585 4302 4780 5975 7170 8604 10755 11950 14340 17925 21510 23900 35850 43020 53775 71700 107550 215100 385267 770534 1155801 1541068 1926335 2311602 3467403 3852670 4623204 5779005 6934806 7705340 9631675 11558010 13869612 17337015 19263350 23116020 28895025 34674030 38526700 57790050 69348060 86685075 92078813 115580100 173370150 184157626 276236439 346740300 368315252 460394065 552472878 828709317 920788130 1104945756 1381182195 1657418634 1841576260 2301970325 2762364390 3314837268 4143546585 4603940650 5524728780 6905910975 8287093170 9207881300 13811821950 16574186340 20717732925 27623643900 41435465850 82870931700