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54811111296 = 273672777691
BaseRepresentation
bin110011000010111111…
…110010111110000000
312020110212202221121010
4303002333302332000
51344223121030141
641102504200520
73650161521204
oct630277627600
9166425687533
1054811111296
1121277497197
12a758169140
135226734946
14291d6a2b04
15165be39416
hexcc2ff2f80

54811111296 has 128 divisors (see below), whose sum is σ = 148317759360. Its totient is φ = 17930373120.

The previous prime is 54811111247. The next prime is 54811111337. The reversal of 54811111296 is 69211111845.

It is a tau number, because it is divible by the number of its divisors (128).

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, 7122811 + ... + 7130501.

It is an arithmetic number, because the mean of its divisors is an integer number (1158732495).

Almost surely, 254811111296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54811111296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74158879680).

54811111296 is an abundant number, since it is smaller than the sum of its proper divisors (93506648064).

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

54811111296 is a wasteful number, since it uses less digits than its factorization.

54811111296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8052 (or 8040 counting only the distinct ones).

The product of its digits is 17280, while the sum is 39.

The spelling of 54811111296 in words is "fifty-four billion, eight hundred eleven million, one hundred eleven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 268 277 384 402 536 554 804 831 1072 1108 1608 1662 2144 2216 3216 3324 4288 4432 6432 6648 7691 8576 8864 12864 13296 15382 17728 18559 23073 25728 26592 30764 35456 37118 46146 53184 55677 61528 74236 92292 106368 111354 123056 148472 184584 222708 246112 296944 369168 445416 492224 515297 593888 738336 890832 984448 1030594 1187776 1476672 1545891 1781664 2061188 2130407 2375552 2953344 3091782 3563328 4122376 4260814 6183564 6391221 7126656 8244752 8521628 12367128 12782442 16489504 17043256 24734256 25564884 32979008 34086512 49468512 51129768 65958016 68173024 98937024 102259536 136346048 142737269 197874048 204519072 272692096 285474538 409038144 428211807 570949076 818076288 856423614 1141898152 1712847228 2283796304 3425694456 4567592608 6851388912 9135185216 13702777824 18270370432 27405555648 54811111296