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5355442445535 = 335713495787943
BaseRepresentation
bin100110111101110100100…
…1111101001110011011111
3200221222022222210012112000
41031323221033221303133
51200220421231224120
615220131205413343
71061626566461430
oct115735117516337
920858288705460
105355442445535
11178525970a786
12725b06a0a253
132cb029374760
141472c1d6d487
1594492476990
hex4dee93e9cdf

5355442445535 has 128 divisors (see below), whose sum is σ = 11720388341760. Its totient is φ = 2259397421568.

The previous prime is 5355442445531. The next prime is 5355442445543.

It is a happy number.

5355442445535 is a `hidden beast` number, since 5 + 3 + 5 + 5 + 4 + 42 + 44 + 553 + 5 = 666.

5355442445535 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5355442445535 - 22 = 5355442445531 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5355442445531) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60852774 + ... + 60940716.

It is an arithmetic number, because the mean of its divisors is an integer number (91565533920).

Almost surely, 25355442445535 is an apocalyptic number.

5355442445535 is an abundant number, since it is smaller than the sum of its proper divisors (6364945896225).

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

5355442445535 is a wasteful number, since it uses less digits than its factorization.

5355442445535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92934 (or 92928 counting only the distinct ones).

The product of its digits is 72000000, while the sum is 54.

The spelling of 5355442445535 in words is "five trillion, three hundred fifty-five billion, four hundred forty-two million, four hundred forty-five thousand, five hundred thirty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 91 105 117 135 189 195 273 315 351 455 585 819 945 1365 1755 2457 4095 4957 12285 14871 24785 34699 44613 64441 74355 87943 104097 133839 173495 193323 223065 263829 312291 322205 439715 451087 520485 579969 615601 669195 791487 936873 966615 1143259 1319145 1353261 1561455 1739907 1846803 2255435 2374461 2899845 3078005 3429777 3957435 4059783 4684365 5540409 5716295 6766305 8002813 8699535 9234015 10289331 11872305 12179349 16621227 17148885 20298915 24008439 27702045 30867993 40014065 51446655 60896745 72025317 83106135 120042195 154339965 216075951 360126585 435933451 1080379755 1307800353 2179667255 3051534157 3923401059 5667134863 6539001765 9154602471 11770203177 15257670785 17001404589 19617005295 27463807413 28335674315 39669944041 45773012355 51004213767 58851015885 82391422239 85007022945 119009832123 137319037065 153012641301 198349720205 255021068835 357029496369 411957111195 595049160615 765063206505 1071088489107 1785147481845 5355442445535