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480339417593 = 7217215696017
BaseRepresentation
bin1101111110101100111…
…01011101100111111001
31200220211200100122101202
412333112131131213321
530332213342330333
61004355340423545
746463154453200
oct6772635354771
91626750318352
10480339417593
11175790095992
1279114847bb5
13363acb92669
141936a052237
15c764ab05e8
hex6fd675d9f9

480339417593 has 12 divisors (see below), whose sum is σ = 559086950772. Its totient is φ = 411480195840.

The previous prime is 480339417559. The next prime is 480339417611. The reversal of 480339417593 is 395714933084.

It can be written as a sum of positive squares in 2 ways, for example, as 379982246329 + 100357171264 = 616427^2 + 316792^2 .

It is not a de Polignac number, because 480339417593 - 210 = 480339416569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (440339417593) 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, 2763680 + ... + 2932337.

It is an arithmetic number, because the mean of its divisors is an integer number (46590579231).

Almost surely, 2480339417593 is an apocalyptic number.

It is an amenable number.

480339417593 is a deficient number, since it is larger than the sum of its proper divisors (78747533179).

480339417593 is a wasteful number, since it uses less digits than its factorization.

480339417593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5697752 (or 5697745 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 56.

The spelling of 480339417593 in words is "four hundred eighty billion, three hundred thirty-nine million, four hundred seventeen thousand, five hundred ninety-three".

Divisors: 1 7 49 1721 12047 84329 5696017 39872119 279104833 9802845257 68619916799 480339417593