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28431542646 = 233131632411031
BaseRepresentation
bin11010011110101001…
…101110100101110110
32201101102222000101000
4122132221232211312
5431211433331041
621021122344130
72024363060613
oct323651564566
981342860330
1028431542646
111106a956891
1256157bb046
1328b1454520
14153a00550a
15b160aabb6
hex69ea6e976

28431542646 has 128 divisors (see below), whose sum is σ = 68809466880. Its totient is φ = 8650022400.

The previous prime is 28431542641. The next prime is 28431542663. The reversal of 28431542646 is 64624513482.

28431542646 is a `hidden beast` number, since 2 + 8 + 43 + 1 + 542 + 64 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28431542641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27576151 + ... + 27577181.

It is an arithmetic number, because the mean of its divisors is an integer number (537573960).

Almost surely, 228431542646 is an apocalyptic number.

28431542646 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 28431542646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34404733440).

28431542646 is an abundant number, since it is smaller than the sum of its proper divisors (40377924234).

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

28431542646 is a wasteful number, since it uses less digits than its factorization.

28431542646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1453 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 28431542646 in words is "twenty-eight billion, four hundred thirty-one million, five hundred forty-two thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 163 234 241 326 351 482 489 702 723 978 1031 1446 1467 2062 2119 2169 2934 3093 3133 4238 4338 4401 6186 6266 6357 6507 8802 9279 9399 12714 13014 13403 18558 18798 19071 26806 27837 28197 38142 39283 40209 55674 56394 57213 78566 80418 84591 114426 117849 120627 168053 169182 235698 241254 248471 336106 353547 361881 496942 504159 510679 707094 723762 745413 1008318 1021358 1060641 1490826 1512477 1532037 2121282 2184689 2236239 3024954 3064074 3230123 4369378 4472478 4537431 4596111 6460246 6554067 6708717 9074862 9192222 9690369 13108134 13417434 13788333 19380738 19662201 27576666 29071107 39324402 40500773 58142214 58986603 81001546 87213321 117973206 121502319 174426642 243004638 364506957 526510049 729013914 1053020098 1093520871 1579530147 2187041742 3159060294 4738590441 9477180882 14215771323 28431542646