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552352400334 = 2327235310191741
BaseRepresentation
bin10000000100110101100…
…01001100001111001110
31221210201101111012110200
420002122301030033032
533022204203302314
61101425220514330
754622543636200
oct10023261141716
91853641435420
10552352400334
111a3284591759
128b07184b9a6
134011837b757
141ca3c142770
15e57bc9a709
hex809ac4c3ce

552352400334 has 144 divisors (see below), whose sum is σ = 1398270023280. Its totient is φ = 157123169280.

The previous prime is 552352400333. The next prime is 552352400381. The reversal of 552352400334 is 433004253255.

552352400334 is a `hidden beast` number, since 5 + 52 + 35 + 240 + 0 + 334 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (552352400333) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 317260704 + ... + 317262444.

It is an arithmetic number, because the mean of its divisors is an integer number (9710208495).

Almost surely, 2552352400334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 552352400334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699135011640).

552352400334 is an abundant number, since it is smaller than the sum of its proper divisors (845917622946).

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

552352400334 is a wasteful number, since it uses less digits than its factorization.

552352400334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

Adding to 552352400334 its reverse (433004253255), we get a palindrome (985356653589).

The spelling of 552352400334 in words is "five hundred fifty-two billion, three hundred fifty-two million, four hundred thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 353 441 706 882 1019 1059 1741 2038 2118 2471 3057 3177 3482 4942 5223 6114 6354 7133 7413 9171 10446 12187 14266 14826 15669 17297 18342 21399 22239 24374 31338 34594 36561 42798 44478 49931 51891 64197 73122 85309 99862 103782 109683 128394 149793 155673 170618 219366 255927 299586 311346 359707 449379 511854 614573 719414 767781 898758 1079121 1229146 1535562 1774079 1843719 2158242 2517949 3237363 3548158 3687438 4302011 5035898 5322237 5531157 6474726 7553847 8604022 10644474 11062314 12418553 12906033 15107694 15966711 17625643 22661541 24837106 25812066 30114077 31933422 35251286 37255659 38718099 45323082 52876929 60228154 74511318 77436198 86929871 90342231 105753858 111766977 158630787 173859742 180684462 223533954 260789613 271026693 317261574 521579226 542053386 626249887 782368839 1252499774 1564737678 1878749661 3757499322 4383749209 5636248983 8767498418 11272497966 13151247627 26302495254 30686244463 39453742881 61372488926 78907485762 92058733389 184117466778 276176200167 552352400334