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28073219922 = 23811217681
BaseRepresentation
bin11010001001010010…
…110101011101010010
32200110110201100000000
4122021102311131102
5424443221014142
620521402310430
72012452301136
oct321122653522
980413640000
1028073219922
11109a6667700
1255357b8416
132855146047
1415045ad3c6
15ae48cb14c
hex6894b5752

28073219922 has 108 divisors (see below), whose sum is σ = 69429416238. Its totient is φ = 8506555200.

The previous prime is 28073219861. The next prime is 28073219947. The reversal of 28073219922 is 22991237082.

It is a happy number.

28073219922 is a `hidden beast` number, since 280 + 73 + 219 + 92 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26008335441 + 2064884481 = 161271^2 + 45441^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1578922 + ... + 1596602.

Almost surely, 228073219922 is an apocalyptic number.

28073219922 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 28073219922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34714708119).

28073219922 is an abundant number, since it is smaller than the sum of its proper divisors (41356196316).

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

28073219922 is an equidigital number, since it uses as much as digits as its factorization.

28073219922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17729 (or 17697 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 28073219922 in words is "twenty-eight billion, seventy-three million, two hundred nineteen thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 121 162 198 242 243 297 363 486 594 726 729 891 1089 1458 1782 2178 2187 2673 3267 4374 5346 6534 6561 8019 9801 13122 16038 17681 19602 24057 29403 35362 48114 53043 58806 72171 88209 106086 144342 159129 176418 194491 264627 318258 388982 477387 529254 583473 793881 954774 1166946 1432161 1587762 1750419 2139401 2864322 3500838 4278802 4296483 5251257 6418203 8592966 10502514 12836406 12889449 15753771 19254609 25778898 31507542 38509218 38668347 47261313 57763827 77336694 94522626 115527654 116005041 141783939 173291481 232010082 283567878 346582962 425351817 519874443 850703634 1039748886 1276055451 1559623329 2552110902 3119246658 4678869987 9357739974 14036609961 28073219922