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28014611436 = 2232732978233
BaseRepresentation
bin11010000101110011…
…010000101111101100
32200022101102201021100
4122011303100233230
5424333220031221
620511510203100
72011141161000
oct320563205754
980271381240
1028014611436
1110976577239
12551a053490
132845c65576
1414da8b4700
15ade6a0926
hex685cd0bec

28014611436 has 144 divisors (see below), whose sum is σ = 85431528000. Its totient is φ = 7728069888.

The previous prime is 28014611341. The next prime is 28014611459. The reversal of 28014611436 is 63411641082.

28014611436 is a `hidden beast` number, since 2 + 8 + 0 + 1 + 4 + 611 + 4 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 28014611436.

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, 318976 + ... + 397208.

It is an arithmetic number, because the mean of its divisors is an integer number (593274500).

Almost surely, 228014611436 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 28014611436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42715764000).

28014611436 is an abundant number, since it is smaller than the sum of its proper divisors (57416916564).

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

28014611436 is a wasteful number, since it uses less digits than its factorization.

28014611436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78293 (or 78274 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 28014611436 in words is "twenty-eight billion, fourteen million, six hundred eleven thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 49 58 63 84 87 98 116 126 147 174 196 203 252 261 294 343 348 406 441 522 588 609 686 812 882 1029 1044 1218 1372 1421 1764 1827 2058 2436 2842 3087 3654 4116 4263 5684 6174 7308 8526 9947 12348 12789 17052 19894 25578 29841 39788 51156 59682 78233 89523 119364 156466 179046 234699 312932 358092 469398 547631 704097 938796 1095262 1408194 1642893 2190524 2268757 2816388 3285786 3833417 4537514 4928679 6571572 6806271 7666834 9075028 9857358 11500251 13612542 15333668 15881299 19714716 20418813 23000502 26833919 27225084 31762598 34500753 40837626 46001004 47643897 53667838 63525196 69001506 80501757 81675252 95287794 107335676 111169093 138003012 142931691 161003514 190575588 222338186 241505271 285863382 322007028 333507279 444676372 483010542 571726764 667014558 778183651 966021084 1000521837 1334029116 1556367302 2001043674 2334550953 3112734604 4002087348 4669101906 7003652859 9338203812 14007305718 28014611436