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54620328224 = 2572113538971
BaseRepresentation
bin110010110111101000…
…000001000100100000
312012222120210011102102
4302313220001010200
51343330301000344
641031531105532
73642354062300
oct626750010440
9165876704372
1054620328224
112118982a030
12a7042a22a8
1351c6056957
1429021dd600
15164a300e4e
hexcb7a01120

54620328224 has 144 divisors (see below), whose sum is σ = 136863984096. Its totient is φ = 21217996800.

The previous prime is 54620328173. The next prime is 54620328239. The reversal of 54620328224 is 42282302645.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6084059 + ... + 6093029.

It is an arithmetic number, because the mean of its divisors is an integer number (950444334).

Almost surely, 254620328224 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 54620328224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68431992048).

54620328224 is an abundant number, since it is smaller than the sum of its proper divisors (82243655872).

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

54620328224 is a wasteful number, since it uses less digits than its factorization.

54620328224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9359 (or 9344 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

The spelling of 54620328224 in words is "fifty-four billion, six hundred twenty million, three hundred twenty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 308 352 353 392 539 616 706 784 1078 1232 1412 1568 2156 2464 2471 2824 3883 4312 4942 5648 7766 8624 8971 9884 11296 15532 17248 17297 17942 19768 27181 31064 34594 35884 39536 54362 62128 62797 69188 71768 79072 98681 108724 124256 125594 138376 143536 190267 197362 217448 251188 276752 287072 380534 394724 434896 439579 502376 553504 690767 761068 789448 869792 879158 1004752 1381534 1522136 1578896 1758316 2009504 2763068 3044272 3157792 3166763 3516632 4835369 5526136 6088544 6333526 7033264 9670738 11052272 12667052 14066528 19341476 22104544 22167341 25334104 34834393 38682952 44334682 50668208 69668786 77365904 88669364 101336416 139337572 154731808 155171387 177338728 243840751 278675144 310342774 354677456 487681502 557350288 620685548 709354912 975363004 1114700576 1241371096 1706885257 1950726008 2482742192 3413770514 3901452016 4965484384 6827541028 7802904032 13655082056 27310164112 54620328224