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54952555525945 = 57117113733743543
BaseRepresentation
bin11000111111010101000111…
…00011010011011100111001
321012120102011002010101111021
430133222203203103130321
524200320313203312240
6312512504442102441
714401122361000420
oct1437524343233471
9235512132111437
1054952555525945
111656727aa91010
1261b620b7aaa21
13248800831834c
14d7da09c062b7
1565469703454a
hex31faa38d3739

54952555525945 has 128 divisors (see below), whose sum is σ = 84232383086592. Its totient is φ = 33426879897600.

The previous prime is 54952555525943. The next prime is 54952555525993.

54952555525945 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54952555525945 - 21 = 54952555525943 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54952555525943) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1262007844 + ... + 1262051386.

It is an arithmetic number, because the mean of its divisors is an integer number (658065492864).

Almost surely, 254952555525945 is an apocalyptic number.

54952555525945 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54952555525945 is a deficient number, since it is larger than the sum of its proper divisors (29279827560647).

54952555525945 is a wasteful number, since it uses less digits than its factorization.

54952555525945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44111.

The product of its digits is 2025000000, while the sum is 70.

The spelling of 54952555525945 in words is "fifty-four trillion, nine hundred fifty-two billion, five hundred fifty-five million, five hundred twenty-five thousand, nine hundred forty-five".

Divisors: 1 5 7 11 35 55 71 77 137 337 355 385 497 685 781 959 1507 1685 2359 2485 3707 3905 4795 5467 7535 9727 10549 11795 18535 23927 25949 27335 43543 46169 48635 52745 68089 106997 119635 129745 167489 217715 230845 263197 304801 323183 340445 478973 507859 534985 748979 837445 1315985 1524005 1615915 1842379 2394865 2539295 3091553 3277999 3352811 3555013 3744895 5965391 9211895 14673991 15457765 16389995 16764055 17775065 21640871 22945993 29826955 34007083 36057989 41757737 65619301 73369955 102717937 108204355 114729965 161413901 170035415 180289945 208788685 238049581 252405923 328096505 423542761 459335107 513589685 807069505 1041853361 1129897307 1190247905 1262029615 2010336767 2117713805 2296675535 2964799327 4658970371 5209266805 5649486535 7292973527 10051683835 11460386971 14072357369 14823996635 22113704437 23294851855 32612792597 36464867635 57301934855 70361786845 80222708797 110568522185 142733910457 154795931059 163063962985 401113543985 713669552285 773979655295 999137373199 1570073015027 4995686865995 7850365075135 10990511105189 54952555525945