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552516471441 = 321116831331589
BaseRepresentation
bin10000000101001001000…
…11000100101010010001
31221211010211012212201100
420002210203010222101
533023023204041231
61101453401255013
754626605342464
oct10024443045221
91854124185640
10552516471441
111a3359164810
128b0b8794469
134014336624c
141ca55c512db
15e58b3a91e6
hex80a48c4a91

552516471441 has 24 divisors (see below), whose sum is σ = 870686369280. Its totient is φ = 334837562400.

The previous prime is 552516471391. The next prime is 552516471457. The reversal of 552516471441 is 144174615255.

552516471441 is a `hidden beast` number, since 5 + 52 + 516 + 47 + 1 + 4 + 41 = 666.

It is not a de Polignac number, because 552516471441 - 221 = 552514374289 is a prime.

It is a super-2 number, since 2×5525164714412 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (552516401441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1500475 + ... + 1832063.

It is an arithmetic number, because the mean of its divisors is an integer number (36278598720).

Almost surely, 2552516471441 is an apocalyptic number.

It is an amenable number.

552516471441 is a deficient number, since it is larger than the sum of its proper divisors (318169897839).

552516471441 is a wasteful number, since it uses less digits than its factorization.

552516471441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348437 (or 348434 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The spelling of 552516471441 in words is "five hundred fifty-two billion, five hundred sixteen million, four hundred seventy-one thousand, four hundred forty-one".

Divisors: 1 3 9 11 33 99 16831 50493 151479 185141 331589 555423 994767 1666269 2984301 3647479 10942437 32827311 5580974459 16742923377 50228770131 61390719049 184172157147 552516471441