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105484748476260 = 223510117406724171
BaseRepresentation
bin10111111111000000010100…
…111101100100111101100100
3111211111020120111012200112210
4113333000110331210331210
5102311230231102220020
61012203005141243420
731135010255025216
oct2777002475447544
9454436514180483
10105484748476260
113067991559565a
12b9b7798a03570
1346b2227684aca
141c096bc0025b6
15c2dd78bc93e0
hex5ff014f64f64

105484748476260 has 48 divisors (see below), whose sum is σ = 298281625411392. Its totient is φ = 27850758672000.

The previous prime is 105484748476193. The next prime is 105484748476297. The reversal of 105484748476260 is 62674847484501.

It is a happy number.

It is a super-2 number, since 2×1054847484762602 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105484748476191 and 105484748476200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8703356026 + ... + 8703368145.

It is an arithmetic number, because the mean of its divisors is an integer number (6214200529404).

Almost surely, 2105484748476260 is an apocalyptic number.

105484748476260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105484748476260 is an abundant number, since it is smaller than the sum of its proper divisors (192796876935132).

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

105484748476260 is a wasteful number, since it uses less digits than its factorization.

105484748476260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17406724284 (or 17406724282 counting only the distinct ones).

The product of its (nonzero) digits is 289013760, while the sum is 66.

The spelling of 105484748476260 in words is "one hundred five trillion, four hundred eighty-four billion, seven hundred forty-eight million, four hundred seventy-six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 6060 17406724171 34813448342 52220172513 69626896684 87033620855 104440345026 174067241710 208880690052 261100862565 348134483420 522201725130 1044403450260 1758079141271 3516158282542 5274237423813 7032316565084 8790395706355 10548474847626 17580791412710 21096949695252 26371187119065 35161582825420 52742374238130 105484748476260