Base | Representation |
---|---|
bin | 10010011100000010010000… |
… | …001110101100000100000000 |
3 | 101122010021002020212022000000 |
4 | 102130002100032230010000 |
5 | 41112100142443134310 |
6 | 444244513112000000 |
7 | 23036442354552000 |
oct | 2234022016540400 |
9 | 348107066768000 |
10 | 81091402318080 |
11 | 23924741618490 |
12 | 9118082690000 |
13 | 3632b6a63092b |
14 | 1604bb8252000 |
15 | 9595906cd4c0 |
hex | 49c0903ac100 |
81091402318080 has 4032 divisors, whose sum is σ = 382962688819200. Its totient is φ = 16284660940800.
The previous prime is 81091402318079. The next prime is 81091402318081. The reversal of 81091402318080 is 8081320419018.
81091402318080 is a `hidden beast` number, since 8 + 1 + 0 + 91 + 402 + 3 + 1 + 80 + 80 = 666.
It is an interprime number because it is at equal distance from previous prime (81091402318079) and next prime (81091402318081).
It is a tau number, because it is divible by the number of its divisors (4032).
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 (81091402318081) by changing a digit.
It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 109140514189 + ... + 109140514931.
It is an arithmetic number, because the mean of its divisors is an integer number (94980825600).
Almost surely, 281091402318080 is an apocalyptic number.
81091402318080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 81091402318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191481344409600).
81091402318080 is an abundant number, since it is smaller than the sum of its proper divisors (301871286501120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
81091402318080 is an equidigital number, since it uses as much as digits as its factorization.
81091402318080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 845 (or 802 counting only the distinct ones).
The product of its (nonzero) digits is 110592, while the sum is 45.
The spelling of 81091402318080 in words is "eighty-one trillion, ninety-one billion, four hundred two million, three hundred eighteen thousand, eighty".
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