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54005520653340 = 223519139073406433
BaseRepresentation
bin11000100011110001000111…
…10111111101110000011100
321002012212200120221012202020
430101320203313331300130
524034311301241401330
6310505443234100140
714242525101255414
oct1421704367756034
9232185616835666
1054005520653340
1116231681540283
12608276b71a650
1324199111b3c99
14d49c49c19644
15639c1a619210
hex311e23dfdc1c

54005520653340 has 96 divisors (see below), whose sum is σ = 159185658481920. Its totient is φ = 13642514896896.

The previous prime is 54005520653339. The next prime is 54005520653351. The reversal of 54005520653340 is 4335602550045.

It is a happy number.

It is a super-2 number, since 2×540055206533402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54005520653292 and 54005520653301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14150764 + ... + 17557196.

It is an arithmetic number, because the mean of its divisors is an integer number (1658183942520).

Almost surely, 254005520653340 is an apocalyptic number.

It is an amenable number.

54005520653340 is an abundant number, since it is smaller than the sum of its proper divisors (105180137828580).

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

54005520653340 is a wasteful number, since it uses less digits than its factorization.

54005520653340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420371 (or 3420369 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 42.

The spelling of 54005520653340 in words is "fifty-four trillion, five billion, five hundred twenty million, six hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 13907 27814 41721 55628 69535 83442 139070 166884 208605 264233 278140 417210 528466 792699 834420 1056932 1321165 1585398 2642330 3170796 3406433 3963495 5284660 6812866 7926990 10219299 13625732 15853980 17032165 20438598 34064330 40877196 51096495 64722227 68128660 102192990 129444454 194166681 204385980 258888908 323611135 388333362 647222270 776666724 970833405 1294444540 1941666810 3883333620 47373263731 94746527462 142119791193 189493054924 236866318655 284239582386 473732637310 568479164772 710598955965 900092010889 947465274620 1421197911930 1800184021778 2700276032667 2842395823860 3600368043556 4500460054445 5400552065334 9000920108890 10801104130668 13501380163335 18001840217780 27002760326670 54005520653340