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28041362107122 = 23713809169737409
BaseRepresentation
bin1100110000000111000110…
…11011010110101011110010
310200021201122201221122201110
412120003203123112223302
512133412202144411442
6135350005055414150
75622631044113550
oct630034333265362
9120251581848643
1028041362107122
118a31302966581
12318a72b524356
13128539b1cc4a0
146cd2cdd54bd0
1533964819069c
hex1980e36d6af2

28041362107122 has 128 divisors (see below), whose sum is σ = 69152786035200. Its totient is φ = 7381832564736.

The previous prime is 28041362107079. The next prime is 28041362107123. The reversal of 28041362107122 is 22170126314082.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (28041362107123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 749569954 + ... + 749607362.

It is an arithmetic number, because the mean of its divisors is an integer number (540256140900).

Almost surely, 228041362107122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28041362107122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34576393017600).

28041362107122 is an abundant number, since it is smaller than the sum of its proper divisors (41111423928078).

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

28041362107122 is a wasteful number, since it uses less digits than its factorization.

28041362107122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39940.

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 28041362107122 in words is "twenty-eight trillion, forty-one billion, three hundred sixty-two million, one hundred seven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 809 1618 1697 2427 3394 4854 5091 5663 10182 10517 11326 11879 16989 21034 22061 23758 31551 33978 35637 37409 44122 63102 66183 71274 73619 74818 112227 132366 147238 154427 220857 224454 261863 308854 441714 463281 486317 523726 785589 926562 972634 1372873 1458951 1571178 2745746 2917902 3404219 4118619 6808438 8237238 9610111 10212657 17847349 19220222 20425314 28830333 30263881 35694698 53542047 57660666 60527762 63483073 90791643 107084094 124931443 126966146 181583286 190449219 211847167 249862886 374794329 380898438 393430453 423694334 444381511 635541501 749588658 786860906 825279949 888763022 1180291359 1271083002 1333144533 1650559898 2360582718 2475839847 2666289066 2754013171 4951679694 5508026342 5776959643 8262039513 11553919286 16524079026 17330878929 34661757858 51357806057 102715612114 154073418171 308146836342 359504642399 667651478741 719009284798 1078513927197 1335302957482 2002954436223 2157027854394 4005908872446 4673560351187 9347120702374 14020681053561 28041362107122