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54394705088352 = 253447446502373
BaseRepresentation
bin11000101111000110000010…
…00100110000111101100000
321010121002020112002221210000
430113203001010300331200
524112200324000311402
6311404325455140000
714312613333343116
oct1427430104607540
9233532215087700
1054394705088352
1116371734a56612
126126084814600
132447524b92415
14d60a097dbab6
15644de7755c1c
hex3178c1130f60

54394705088352 has 120 divisors (see below), whose sum is σ = 163377004656096. Its totient is φ = 17745790272768.

The previous prime is 54394705088351. The next prime is 54394705088377. The reversal of 54394705088352 is 25388050749345.

54394705088352 is a `hidden beast` number, since 5 + 4 + 3 + 9 + 4 + 70 + 508 + 8 + 3 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 54394705088352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54394705088351) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 223129363 + ... + 223373010.

Almost surely, 254394705088352 is an apocalyptic number.

It is an amenable number.

54394705088352 is an abundant number, since it is smaller than the sum of its proper divisors (108982299567744).

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

54394705088352 is a wasteful number, since it uses less digits than its factorization.

54394705088352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446502442 (or 446502425 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 54394705088352 in words is "fifty-four trillion, three hundred ninety-four billion, seven hundred five million, eighty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 81 94 96 108 141 144 162 188 216 282 288 324 376 423 432 564 648 752 846 864 1128 1269 1296 1504 1692 2256 2538 2592 3384 3807 4512 5076 6768 7614 10152 13536 15228 20304 30456 40608 60912 121824 446502373 893004746 1339507119 1786009492 2679014238 3572018984 4018521357 5358028476 7144037968 8037042714 10716056952 12055564071 14288075936 16074085428 20985611531 21432113904 24111128142 32148170856 36166692213 41971223062 42864227808 48222256284 62956834593 64296341712 72333384426 83942446124 96444512568 125913669186 128592683424 144666768852 167884892248 188870503779 192889025136 251827338372 289333537704 335769784496 377741007558 385778050272 503654676744 566611511337 578667075408 671539568992 755482015116 1007309353488 1133223022674 1157334150816 1510964030232 1699834534011 2014618706976 2266446045348 3021928060464 3399669068022 4532892090696 6043856120928 6799338136044 9065784181392 13598676272088 18131568362784 27197352544176 54394705088352