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54053155135045 = 511171674796471117
BaseRepresentation
bin11000100101001001110110…
…00111000101111001000101
321002101102122022121121022101
430102210323013011321011
524041101330203310140
6310543402054232101
714246132400550363
oct1422447307057105
9232342568547271
1054053155135045
111624a8a5a02430
12608ba44355631
132421262b4bc31
14d4c288304633
1563b0a749999a
hex31293b1c5e45

54053155135045 has 128 divisors (see below), whose sum is σ = 75713326940160. Its totient is φ = 36611091025920.

The previous prime is 54053155135033. The next prime is 54053155135073.

54053155135045 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54053155135045 - 29 = 54053155134533 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54053155134986 and 54053155135004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48391364827 + ... + 48391365943.

It is an arithmetic number, because the mean of its divisors is an integer number (591510366720).

Almost surely, 254053155135045 is an apocalyptic number.

54053155135045 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54053155135045 is a deficient number, since it is larger than the sum of its proper divisors (21660171805115).

54053155135045 is a wasteful number, since it uses less digits than its factorization.

54053155135045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443.

The product of its (nonzero) digits is 2250000, while the sum is 46.

The spelling of 54053155135045 in words is "fifty-four trillion, fifty-three billion, one hundred fifty-five million, one hundred thirty-five thousand, forty-five".

Divisors: 1 5 11 17 55 85 167 187 479 647 835 935 1117 1837 2395 2839 3235 5269 5585 7117 8143 9185 10999 12287 14195 18989 26345 31229 35585 40715 54995 61435 79993 89573 94945 108049 120989 156145 186539 208879 309913 399965 447865 535043 540245 604945 722699 879923 932695 1044395 1188539 1359881 1549565 1836833 2051929 2675215 3171163 3409043 3613495 4399615 5268521 5885473 5942695 6799405 7949689 9095731 9184165 10259645 12285883 14958691 15855815 17045215 20205163 26342605 29427365 34882793 39748445 45478655 51755471 57953731 61429415 74793455 89352181 100053041 101025815 120690733 135144713 174413965 258777355 289768655 346172821 446760905 500265205 569310181 603453665 675723565 879843007 982873991 1327598063 1518987077 1730864105 2051742461 2846550905 3807901031 4399215035 4914369955 5884937957 6637990315 7594935385 9678273077 10258712305 16708857847 19039505155 22569167071 29424689785 48391365385 57810861107 64734317527 83544289235 112845835355 289054305535 323671587635 635919472177 982784638819 3179597360885 4913923194095 10810631027009 54053155135045