Search a number
-
+
545452211535 = 357112354737537
BaseRepresentation
bin1111110111111110111…
…11000011110101001111
31221010220111120021220120
413323333133003311033
532414041231232120
61054324405520023
754256546204530
oct7737737036517
91833814507816
10545452211535
111a036360a790
1289866a13013
133c5889513ba
141c585968687
15e2c60ea140
hex7eff7c3d4f

545452211535 has 128 divisors (see below), whose sum is σ = 1137484283904. Its totient is φ = 216423567360.

The previous prime is 545452211471. The next prime is 545452211567. The reversal of 545452211535 is 535112254545.

It is a happy number.

It is not a de Polignac number, because 545452211535 - 26 = 545452211471 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14512287 + ... + 14549823.

It is an arithmetic number, because the mean of its divisors is an integer number (8886595968).

Almost surely, 2545452211535 is an apocalyptic number.

545452211535 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

545452211535 is an abundant number, since it is smaller than the sum of its proper divisors (592032072369).

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

545452211535 is a wasteful number, since it uses less digits than its factorization.

545452211535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38133.

The product of its digits is 600000, while the sum is 42.

The spelling of 545452211535 in words is "five hundred forty-five billion, four hundred fifty-two million, two hundred eleven thousand, five hundred thirty-five".

Divisors: 1 3 5 7 11 15 21 23 33 35 55 69 77 105 115 161 165 231 253 345 385 483 547 759 805 1155 1265 1641 1771 2415 2735 3795 3829 5313 6017 8205 8855 11487 12581 18051 19145 26565 30085 37537 37743 42119 57435 62905 88067 90255 112611 126357 138391 187685 188715 210595 262759 264201 412907 415173 440335 563055 631785 691955 788277 863351 968737 1238721 1313795 1321005 2064535 2075865 2590053 2890349 2906211 3941385 4316755 4843685 6043457 6193605 8671047 9496861 12950265 14451745 14531055 18130371 20532739 28490583 30217285 43355235 47484305 61598217 66478027 90651855 102663695 142452915 143729173 199434081 225860129 307991085 332390135 431187519 472252997 677580387 718645865 997170405 1129300645 1416758991 1581020903 2155937595 2361264985 3305770979 3387901935 4743062709 5194782967 7083794955 7905104515 9917312937 15584348901 16528854895 23715313545 25973914835 36363480769 49586564685 77921744505 109090442307 181817403845 545452211535