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81040417100 = 22527330736161
BaseRepresentation
bin100101101111001100…
…0101010000101001100
321202011211211201221122
41023132120222011030
52311432321321400
6101121321220112
75566154115416
oct1133630520514
9252154751848
1081040417100
1131407225925
1213858331638
137846853636
143ccb0079b6
1521949d5685
hex12de62a14c

81040417100 has 72 divisors (see below), whose sum is σ = 178852333968. Its totient is φ = 31867084800.

The previous prime is 81040417097. The next prime is 81040417111. The reversal of 81040417100 is 171404018.

It is a self number, because there is not a number n which added to its sum of digits gives 81040417100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2223020 + ... + 2259180.

It is an arithmetic number, because the mean of its divisors is an integer number (2484060194).

Almost surely, 281040417100 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 81040417100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89426166984).

81040417100 is an abundant number, since it is smaller than the sum of its proper divisors (97811916868).

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

81040417100 is a wasteful number, since it uses less digits than its factorization.

81040417100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36555 (or 36548 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The spelling of 81040417100 in words is "eighty-one billion, forty million, four hundred seventeen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 307 365 614 730 1228 1460 1535 1825 3070 3650 6140 7300 7675 15350 22411 30700 36161 44822 72322 89644 112055 144644 180805 224110 361610 448220 560275 723220 904025 1120550 1808050 2241100 2639753 3616100 5279506 10559012 11101427 13198765 22202854 26397530 44405708 52795060 55507135 65993825 111014270 131987650 222028540 263975300 277535675 555071350 810404171 1110142700 1620808342 3241616684 4052020855 8104041710 16208083420 20260104275 40520208550 81040417100