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54105510144 = 283747921011
BaseRepresentation
bin110010011000111100…
…001001000100000000
312011122201001200210010
4302120330021010000
51341302002311034
640504500504520
73623533151040
oct623074110400
9164581050703
1054105510144
1120a45171644
12a59b9ab140
1351434b3c7a
142893aab720
15161a00c3e9
hexc98f09100

54105510144 has 144 divisors (see below), whose sum is σ = 164922347520. Its totient is φ = 15425710080.

The previous prime is 54105510133. The next prime is 54105510167. The reversal of 54105510144 is 44101550145.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2564599 + ... + 2585609.

It is an arithmetic number, because the mean of its divisors is an integer number (1145294080).

Almost surely, 254105510144 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 54105510144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82461173760).

54105510144 is an abundant number, since it is smaller than the sum of its proper divisors (110816837376).

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

54105510144 is a wasteful number, since it uses less digits than its factorization.

54105510144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21516 (or 21502 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 54105510144 in words is "fifty-four billion, one hundred five million, five hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 479 672 768 896 958 1344 1437 1792 1916 2688 2874 3353 3832 5376 5748 6706 7664 10059 11496 13412 15328 20118 21011 22992 26824 30656 40236 42022 45984 53648 61312 63033 80472 84044 91968 107296 122624 126066 147077 160944 168088 183936 214592 252132 294154 321888 336176 367872 429184 441231 504264 588308 643776 672352 858368 882462 1008528 1176616 1287552 1344704 1764924 2017056 2353232 2575104 2689408 3529848 4034112 4706464 5378816 7059696 8068224 9412928 10064269 14119392 16136448 18825856 20128538 28238784 30192807 37651712 40257076 56477568 60385614 70449883 80514152 112955136 120771228 140899766 161028304 211349649 241542456 281799532 322056608 422699298 483084912 563599064 644113216 845398596 966169824 1127198128 1288226432 1690797192 1932339648 2254396256 2576452864 3381594384 3864679296 4508792512 6763188768 7729358592 9017585024 13526377536 18035170048 27052755072 54105510144