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28133651754 = 2341353269937
BaseRepresentation
bin11010001100111001…
…010111010100101010
32200121200102120220000
4122030321113110222
5430104203324004
620531401443430
72014115044215
oct321471272452
980550376800
1028133651754
1110a27792a6a
125551aa0576
132864814720
14150c62077c
15ae9d66c39
hex68ce5752a

28133651754 has 160 divisors (see below), whose sum is σ = 69501635280. Its totient is φ = 8452574208.

The previous prime is 28133651729. The next prime is 28133651771. The reversal of 28133651754 is 45715633182.

It is a happy number.

28133651754 is a `hidden beast` number, since 2 + 81 + 3 + 3 + 6 + 517 + 54 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 754985529 + 27378666225 = 27477^2 + 165465^2 .

It is a super-2 number, since 2×281336517542 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30024774 + ... + 30025710.

Almost surely, 228133651754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28133651754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34750817640).

28133651754 is an abundant number, since it is smaller than the sum of its proper divisors (41367983526).

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

28133651754 is a wasteful number, since it uses less digits than its factorization.

28133651754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1277 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 28133651754 in words is "twenty-eight billion, one hundred thirty-three million, six hundred fifty-one thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 53 54 78 81 106 117 159 162 234 269 318 351 477 538 689 702 807 937 954 1053 1378 1431 1614 1874 2067 2106 2421 2811 2862 3497 4134 4293 4842 5622 6201 6994 7263 8433 8586 10491 12181 12402 14257 14526 16866 18603 20982 21789 24362 25299 28514 31473 36543 37206 42771 43578 49661 50598 55809 62946 73086 75897 85542 94419 99322 109629 111618 128313 148983 151794 185341 188838 219258 252053 256626 283257 297966 328887 370682 384939 446949 504106 556023 566514 645593 657774 756159 769878 893898 986661 1112046 1154817 1291186 1340847 1512318 1668069 1936779 1973322 2268477 2309634 2681694 3276689 3336138 3873558 4022541 4536954 5004207 5810337 6553378 6805431 8045082 9830067 10008414 11620674 13358809 13610862 15012621 17431011 19660134 20416293 26717618 29490201 30025242 34862022 40076427 40832586 52293033 58980402 80152854 88470603 104586066 120229281 173664517 176941206 240458562 265411809 347329034 360687843 520993551 530823618 721375686 1041987102 1082063529 1562980653 2164127058 3125961306 4688941959 9377883918 14066825877 28133651754