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455959341160 = 235103110669743
BaseRepresentation
bin1101010001010010100…
…10110110100001101000
31121120220120221102211221
412220221102312201220
524432301042404120
6545244223031424
744641045311151
oct6505122664150
91546816842757
10455959341160
1116640a185694
127444ba3b574
1333cc5c0c42b
14180d615a928
15bcd95440aa
hex6a294b6868

455959341160 has 32 divisors (see below), whose sum is σ = 1035868803840. Its totient is φ = 180613018944.

The previous prime is 455959341157. The next prime is 455959341199. The reversal of 455959341160 is 61143959554.

It is a super-2 number, since 2×4559593411602 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 455959341098 and 455959341107.

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 7 ways as a sum of consecutive naturals, for example, 55330752 + ... + 55338991.

It is an arithmetic number, because the mean of its divisors is an integer number (32370900120).

Almost surely, 2455959341160 is an apocalyptic number.

455959341160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

455959341160 is an abundant number, since it is smaller than the sum of its proper divisors (579909462680).

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

455959341160 is a wasteful number, since it uses less digits than its factorization.

455959341160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110669857 (or 110669853 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 52.

The spelling of 455959341160 in words is "four hundred fifty-five billion, nine hundred fifty-nine million, three hundred forty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 103 206 412 515 824 1030 2060 4120 110669743 221339486 442678972 553348715 885357944 1106697430 2213394860 4426789720 11398983529 22797967058 45595934116 56994917645 91191868232 113989835290 227979670580 455959341160