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55443943552761 = 342924726072
BaseRepresentation
bin11001001101101000011001…
…00011110111011011111001
321021022101111202101112110000
430212310030203313123321
524231343144022142021
6313530332424543213
714451456415212411
oct1446641443673371
9237271452345400
1055443943552761
111673670a7955a5
1262754a8621b09
1324c24591c46aa
14d9970337d641
15662356a86b26
hex326d0c8f76f9

55443943552761 has 135 divisors (see below), whose sum is σ = 87786661149759. Its totient is φ = 34871192066592.

The previous prime is 55443943552759. The next prime is 55443943552783. The reversal of 55443943552761 is 16725534934455.

The square root of 55443943552761 is 7446069.

It is a perfect power (a square), and thus also a powerful number.

55443943552761 is a `hidden beast` number, since 5 + 5 + 4 + 4 + 3 + 9 + 4 + 3 + 552 + 76 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29073459104361 + 26370484448400 = 5391981^2 + 5135220^2 .

It is not a de Polignac number, because 55443943552761 - 21 = 55443943552759 is a prime.

It is not an unprimeable number, because it can be changed into a prime (55443943552861) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 91340928120 + ... + 91340928726.

Almost surely, 255443943552761 is an apocalyptic number.

55443943552761 is the 7446069-th square number.

55443943552761 is the 3723035-th centered octagonal number.

It is an amenable number.

55443943552761 is a deficient number, since it is larger than the sum of its proper divisors (32342717596998).

55443943552761 is an frugal number, since it uses more digits than its factorization.

55443943552761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 686 counting only the distinct ones).

The product of its digits is 272160000, while the sum is 63.

The spelling of 55443943552761 in words is "fifty-five trillion, four hundred forty-three billion, nine hundred forty-three million, five hundred fifty-two thousand, seven hundred sixty-one".

Divisors: 1 3 9 27 29 47 81 87 141 261 423 607 783 841 1269 1363 1821 2209 2349 2523 3807 4089 5463 6627 7569 12267 16389 17603 19881 22707 28529 36801 39527 49167 52809 59643 64061 68121 85587 110403 118581 158427 178929 192183 256761 355743 368449 475281 510487 576549 770283 827341 1067229 1105347 1340863 1425843 1531461 1729647 1857769 2310849 2482023 3201687 3316041 4022589 4594383 5188941 5573307 7446069 9948123 10685021 12067767 13783149 16719921 17317103 22338207 23992889 29844369 32055063 36203301 38885027 41349447 50159763 51951309 67014621 71978667 96165189 108609903 116655081 150479289 155853927 215936001 288495567 309865609 349965243 467561781 502195987 647808003 813903841 865486701 929596827 1049895729 1127665783 1402685343 1506587961 1943424009 2441711523 2788790481 3149687187 3382997349 4519763883 7325134569 8366371443 10148992047 13559291649 14563683623 21975403707 23603211389 25099114329 30446976141 40677874947 43691050869 65926211121 70809634167 91340928423 131073152607 212428902501 393219457821 637286707503 684493130281 1179658373463 1911860122509 2053479390843 6160438172529 18481314517587 55443943552761