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81848071440 = 24325113677877
BaseRepresentation
bin100110000111010000…
…1100111010100010000
321211021010120211102100
41030032201213110100
52320111101241230
6101333412120400
75625162061662
oct1141641472420
9254233524370
1081848071440
1131791114553
1213a42906100
137944c86505
143d663a6532
1521e0870660
hex130e867510

81848071440 has 60 divisors (see below), whose sum is σ = 274873109004. Its totient is φ = 21826152192.

The previous prime is 81848071421. The next prime is 81848071441. The reversal of 81848071440 is 4417084818.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 62132541696 + 19715529744 = 249264^2 + 140412^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 (81848071441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56838219 + ... + 56839658.

Almost surely, 281848071440 is an apocalyptic number.

81848071440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81848071440 is an abundant number, since it is smaller than the sum of its proper divisors (193025037564).

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

81848071440 is a wasteful number, since it uses less digits than its factorization.

81848071440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113677896 (or 113677887 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 81848071440 in words is "eighty-one billion, eight hundred forty-eight million, seventy-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 113677877 227355754 341033631 454711508 568389385 682067262 909423016 1023100893 1136778770 1364134524 1705168155 1818846032 2046201786 2273557540 2728269048 3410336310 4092403572 4547115080 5115504465 5456538096 6820672620 8184807144 9094230160 10231008930 13641345240 16369614288 20462017860 27282690480 40924035720 81848071440