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5340444215535 = 33511131631697149
BaseRepresentation
bin100110110110110101101…
…0001111100100011101111
3200220112121201222011211000
41031231223101330203233
51144444212204344120
615205211033331343
71060556120563362
oct115555321744357
920815551864730
105340444215535
111779962597580
1272301bb66b53
132c97a8cc8250
1414669c08a0d9
1593db58b1990
hex4db6b47c8ef

5340444215535 has 128 divisors (see below), whose sum is σ = 11222370432000. Its totient is φ = 2375464112640.

The previous prime is 5340444215471. The next prime is 5340444215609. The reversal of 5340444215535 is 5355124440435.

5340444215535 is a `hidden beast` number, since 5 + 34 + 0 + 4 + 44 + 21 + 553 + 5 = 666.

It is not a de Polignac number, because 5340444215535 - 26 = 5340444215471 is a prime.

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

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, 2298141 + ... + 3995289.

It is an arithmetic number, because the mean of its divisors is an integer number (87674769000).

Almost surely, 25340444215535 is an apocalyptic number.

5340444215535 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5340444215535 is an abundant number, since it is smaller than the sum of its proper divisors (5881926216465).

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

5340444215535 is a wasteful number, since it uses less digits than its factorization.

5340444215535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697350 (or 1697344 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

The spelling of 5340444215535 in words is "five trillion, three hundred forty billion, four hundred forty-four million, two hundred fifteen thousand, five hundred thirty-five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 99 117 135 143 163 165 195 297 351 429 489 495 585 715 815 1287 1467 1485 1755 1793 2119 2145 2445 3861 4401 5379 6357 6435 7335 8965 10595 16137 19071 19305 22005 23309 26895 31785 48411 57213 69927 80685 95355 116545 209781 242055 286065 349635 629343 1048905 1697149 3146715 5091447 8485745 15274341 18668639 22062937 25457235 45823023 56005917 66188811 76371705 93343195 110314685 168017751 198566433 229115115 242692307 276635287 280029585 330944055 504053253 595699299 728076921 829905861 840088755 992832165 1213461535 1383176435 2184230763 2489717583 2520266265 2978496495 3042988157 3596258731 3640384605 4149529305 6552692289 7469152749 9128964471 10788776193 10921153815 12448587915 15214940785 17981293655 27386893413 32366328579 32763461445 37345763745 39558846041 45644822355 53943880965 82160680239 97098985737 118676538123 136934467065 161831642895 197794230205 356029614369 410803401195 485494928685 593382690615 1068088843107 1780148071845 5340444215535