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806426066200 = 2352167193125101
BaseRepresentation
bin10111011110000101011…
…11010011110100011000
32212002112012220201121111
423233002233103310120
5101203030033104300
61414244513150104
7112155663314626
oct13570257236430
92762465821544
10806426066200
11291004544407
1211035a55b334
135b0793b2301
142b0619a2516
1515e9c53b9ba
hexbbc2bd3d18

806426066200 has 96 divisors (see below), whose sum is σ = 1895955838560. Its totient is φ = 318974976000.

The previous prime is 806426066167. The next prime is 806426066213. The reversal of 806426066200 is 2660624608.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 6383650 + ... + 6508750.

It is an arithmetic number, because the mean of its divisors is an integer number (19749539985).

Almost surely, 2806426066200 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 806426066200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947977919280).

806426066200 is an abundant number, since it is smaller than the sum of its proper divisors (1089529772360).

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

806426066200 is a wasteful number, since it uses less digits than its factorization.

806426066200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125477 (or 125468 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 806426066200 in words is "eight hundred six billion, four hundred twenty-six million, sixty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 167 193 200 334 386 668 772 835 965 1336 1544 1670 1930 3340 3860 4175 4825 6680 7720 8350 9650 16700 19300 32231 33400 38600 64462 125101 128924 161155 250202 257848 322310 500404 625505 644620 805775 1000808 1251010 1289240 1611550 2502020 3127525 3223100 5004040 6255050 6446200 12510100 20891867 24144493 25020200 41783734 48288986 83567468 96577972 104459335 120722465 167134936 193155944 208918670 241444930 417837340 482889860 522296675 603612325 835674680 965779720 1044593350 1207224650 2089186700 2414449300 4032130331 4178373400 4828898600 8064260662 16128521324 20160651655 32257042648 40321303310 80642606620 100803258275 161285213240 201606516550 403213033100 806426066200