Search a number
-
+
14955550105056 = 2531136779385069
BaseRepresentation
bin1101100110100001110001…
…0000000101110111100000
31221221201220000000202110020
43121220130100011313200
53430012431311330211
651450252422033440
73102334321261131
oct331503420056740
957851800022406
1014955550105056
114846682164610
12181659b578880
138463c12878b2
14399bd1321c88
151ae06518a306
hexd9a1c405de0

14955550105056 has 96 divisors (see below), whose sum is σ = 42828532790400. Its totient is φ = 4531849889280.

The previous prime is 14955550105043. The next prime is 14955550105073. The reversal of 14955550105056 is 65050105555941.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 38646090 + ... + 39031158.

It is an arithmetic number, because the mean of its divisors is an integer number (446130549900).

Almost surely, 214955550105056 is an apocalyptic number.

14955550105056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14955550105056 is an abundant number, since it is smaller than the sum of its proper divisors (27872982685344).

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

14955550105056 is a wasteful number, since it uses less digits than its factorization.

14955550105056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421872 (or 421864 counting only the distinct ones).

The product of its (nonzero) digits is 3375000, while the sum is 51.

The spelling of 14955550105056 in words is "fourteen trillion, nine hundred fifty-five billion, five hundred fifty million, one hundred five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 36779 73558 110337 147116 220674 294232 385069 404569 441348 588464 770138 809138 882696 1155207 1176928 1213707 1540276 1618276 1765392 2310414 2427414 3080552 3236552 3530784 4235759 4620828 4854828 6161104 6473104 8471518 9241656 9709656 12322208 12707277 12946208 16943036 18483312 19419312 25414554 33886072 36966624 38838624 50829108 67772144 101658216 135544288 203316432 406632864 14162452751 28324905502 42487358253 56649811004 84974716506 113299622008 155786980261 169949433012 226599244016 311573960522 339898866024 453198488032 467360940783 623147921044 679797732048 934721881566 1246295842088 1359595464096 1869443763132 2492591684176 3738887526264 4985183368352 7477775052528 14955550105056