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81166534600 = 235216324110331
BaseRepresentation
bin100101110010111100…
…1110000011111001000
321202111122011011122011
41023211321300133020
52312212113101400
6101142024305304
75602245106054
oct1134571603710
9252448134564
1081166534600
1131471435868
1213892612234
137866a0cb88
143cdda76c64
1521a0ae88ba
hex12e5e707c8

81166534600 has 96 divisors (see below), whose sum is σ = 190676233440. Its totient is φ = 32130432000.

The previous prime is 81166534591. The next prime is 81166534613. The reversal of 81166534600 is 643566118.

It is a super-3 number, since 3×811665346003 (a number of 34 digits) contains 333 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 7851435 + ... + 7861765.

It is an arithmetic number, because the mean of its divisors is an integer number (1986210765).

Almost surely, 281166534600 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 81166534600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95338116720).

81166534600 is an abundant number, since it is smaller than the sum of its proper divisors (109509698840).

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

81166534600 is a wasteful number, since it uses less digits than its factorization.

81166534600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10751 (or 10742 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 81166534600 in words is "eighty-one billion, one hundred sixty-six million, five hundred thirty-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 163 200 241 326 482 652 815 964 1205 1304 1630 1928 2410 3260 4075 4820 6025 6520 8150 9640 10331 12050 16300 20662 24100 32600 39283 41324 48200 51655 78566 82648 103310 157132 196415 206620 258275 314264 392830 413240 516550 785660 982075 1033100 1571320 1683953 1964150 2066200 2489771 3367906 3928300 4979542 6735812 7856600 8419765 9959084 12448855 13471624 16839530 19918168 24897710 33679060 42098825 49795420 62244275 67358120 84197650 99590840 124488550 168395300 248977100 336790600 405832673 497954200 811665346 1623330692 2029163365 3246661384 4058326730 8116653460 10145816825 16233306920 20291633650 40583267300 81166534600