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54343202055345 = 335733731718717
BaseRepresentation
bin11000101101100110000110…
…10000010010010010110001
321010102011022012001210111000
430112303003100102102301
524110324334211232340
6311324531122312213
714306111130651000
oct1426630320222261
9233364265053430
1054343202055345
1116351905921625
1261180b04b8669
13244270790aa68
14d5c321618c37
156438d0e67d30
hex316cc34124b1

54343202055345 has 128 divisors (see below), whose sum is σ = 115709883264000. Its totient is φ = 24171184090368.

The previous prime is 54343202055323. The next prime is 54343202055377. The reversal of 54343202055345 is 54355020234345.

54343202055345 is a `hidden beast` number, since 5 + 4 + 3 + 4 + 32 + 0 + 20 + 553 + 45 = 666.

It is not a de Polignac number, because 54343202055345 - 221 = 54343199958193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 54343202055345.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14146074 + ... + 17572643.

It is an arithmetic number, because the mean of its divisors is an integer number (903983463000).

Almost surely, 254343202055345 is an apocalyptic number.

It is an amenable number.

54343202055345 is an abundant number, since it is smaller than the sum of its proper divisors (61366681208655).

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

54343202055345 is a wasteful number, since it uses less digits than its factorization.

54343202055345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31718789 (or 31718769 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 45.

The spelling of 54343202055345 in words is "fifty-four trillion, three hundred forty-three billion, two hundred two million, fifty-five thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 37 45 49 63 105 111 135 147 185 189 245 259 315 333 343 441 555 735 777 945 999 1029 1295 1323 1665 1715 1813 2205 2331 3087 3885 4995 5145 5439 6615 6993 9065 9261 11655 12691 15435 16317 27195 34965 38073 46305 48951 63455 81585 114219 190365 244755 342657 571095 1713285 31718717 95156151 158593585 222031019 285468453 475780755 666093057 856405359 1110155095 1173592529 1427342265 1554217133 1998279171 3330465285 3520777587 4282026795 4662651399 5867962645 5994837513 7771085665 8215147703 9991395855 10562332761 10879519931 13987954197 17603887935 23313256995 24645443109 29974187565 31686998283 32638559793 41075738515 41963862591 52811663805 54397599655 57506033921 69939770985 73936329327 97915679379 123227215545 158434991415 163192798965 172518101763 209819312955 221808987981 287530169605 293747038137 369681646635 402542237447 489578396895 517554305289 862590508815 1109044939905 1207626712341 1468735190685 1552662915867 2012711187235 2587771526445 3622880137023 6038133561705 7763314579335 10868640411069 18114400685115 54343202055345