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28450588654332 = 22331322153723997
BaseRepresentation
bin1100111100000001010110…
…01110101111101011111100
310201201211221102220012002000
412132000223032233223330
512212113301143414312
6140302004152502300
75664326052301245
oct636005316575374
9121654842805060
1028450588654332
1190799106543a9
123235ab86aa990
1312b4b5720b600
14705031661ccc
153450e9ab5adc
hex19e02b3afafc

28450588654332 has 144 divisors (see below), whose sum is σ = 79908354298080. Its totient is φ = 8749949225472.

The previous prime is 28450588654303. The next prime is 28450588654349. The reversal of 28450588654332 is 23345688505482.

28450588654332 is a `hidden beast` number, since 2 + 8 + 4 + 5 + 0 + 5 + 8 + 86 + 543 + 3 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 28450588654332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38934558 + ... + 39658554.

It is an arithmetic number, because the mean of its divisors is an integer number (554919127070).

Almost surely, 228450588654332 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 28450588654332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39954177149040).

28450588654332 is an abundant number, since it is smaller than the sum of its proper divisors (51457765643748).

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

28450588654332 is a wasteful number, since it uses less digits than its factorization.

28450588654332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726189 (or 726168 counting only the distinct ones).

The product of its (nonzero) digits is 221184000, while the sum is 63.

The spelling of 28450588654332 in words is "twenty-eight trillion, four hundred fifty billion, five hundred eighty-eight million, six hundred fifty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 338 351 468 507 676 702 1014 1404 1521 2028 2153 3042 4306 4563 6084 6459 8612 9126 12918 18252 19377 25836 27989 38754 55978 58131 77508 83967 111956 116262 167934 232524 251901 335868 363857 503802 723997 727714 755703 1007604 1091571 1447994 1455428 1511406 2171991 2183142 2895988 3022812 3274713 4343982 4366284 6515973 6549426 8687964 9411961 9824139 13031946 13098852 18823922 19547919 19648278 26063892 28235883 37647844 39095838 39296556 56471766 78191676 84707649 112943532 122355493 169415298 244710986 254122947 338830596 367066479 489421972 508245894 734132958 1016491788 1101199437 1468265916 1558765541 2202398874 3117531082 3303598311 4404797748 4676296623 6235062164 6607196622 9352593246 13214393244 14028889869 18705186492 20263952033 28057779738 40527904066 42086669607 56115559476 60791856099 81055808132 84173339214 121583712198 168346678428 182375568297 243167424396 263431376429 364751136594 526862752858 547126704891 729502273188 790294129287 1053725505716 1094253409782 1580588258574 2188506819564 2370882387861 3161176517148 4741764775722 7112647163583 9483529551444 14225294327166 28450588654332