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54228462688 = 25311092412081
BaseRepresentation
bin110010100000010001…
…001010110001100000
312011222021102022222001
4302200101022301200
51342024441301223
640525012053344
73626555220211
oct624021126140
9164867368861
1054228462688
1120aa860a714
12a615004254
135162b02a5a
1428a6155408
151625be79ad
hexca044ac60

54228462688 has 96 divisors (see below), whose sum is σ = 111732445440. Its totient is φ = 25878528000.

The previous prime is 54228462679. The next prime is 54228462709. The reversal of 54228462688 is 88626482245.

It is a congruent number.

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, 26057808 + ... + 26059888.

It is an arithmetic number, because the mean of its divisors is an integer number (1163879640).

Almost surely, 254228462688 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 54228462688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55866222720).

54228462688 is an abundant number, since it is smaller than the sum of its proper divisors (57503982752).

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

54228462688 is a wasteful number, since it uses less digits than its factorization.

54228462688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2472 (or 2464 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 55.

The spelling of 54228462688 in words is "fifty-four billion, two hundred twenty-eight million, four hundred sixty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 31 32 62 109 124 218 241 248 436 482 496 872 964 992 1744 1928 2081 3379 3488 3856 4162 6758 7471 7712 8324 13516 14942 16648 26269 27032 29884 33296 52538 54064 59768 64511 66592 105076 108128 119536 129022 210152 226829 239072 258044 420304 453658 501521 516088 814339 840608 907316 1003042 1032176 1628678 1814632 2006084 2064352 3257356 3629264 4012168 6514712 7031699 7258528 8024336 13029424 14063398 15547151 16048672 26058848 28126796 31094302 54665789 56253592 62188604 109331578 112507184 124377208 218663156 225014368 248754416 437326312 497508832 874652624 1694639459 1749305248 3389278918 6778557836 13557115672 27114231344 54228462688