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27230024440 = 23529215310903
BaseRepresentation
bin11001010111000010…
…010011001011111000
32121021201002120020201
4121113002103023320
5421231341240230
620302001531544
71652533250233
oct312702231370
977251076221
1027230024440
1110603703433
12533b343bb4
13274c54acc8
1414645dc41a
15a958705ca
hex6570932f8

27230024440 has 64 divisors (see below), whose sum is σ = 63415483200. Its totient is φ = 10510574592.

The previous prime is 27230024357. The next prime is 27230024447. The reversal of 27230024440 is 4442003272.

It is a junction number, because it is equal to n+sod(n) for n = 27230024399 and 27230024408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27230024447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2492029 + ... + 2502931.

It is an arithmetic number, because the mean of its divisors is an integer number (990866925).

Almost surely, 227230024440 is an apocalyptic number.

27230024440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27230024440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31707741600).

27230024440 is an abundant number, since it is smaller than the sum of its proper divisors (36185458760).

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

27230024440 is a wasteful number, since it uses less digits than its factorization.

27230024440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13096 (or 13092 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 28.

The spelling of 27230024440 in words is "twenty-seven billion, two hundred thirty million, twenty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 2153 4306 8612 10765 10903 17224 21530 21806 43060 43612 54515 62437 86120 87224 109030 124874 218060 249748 312185 316187 436120 499496 624370 632374 1248740 1264748 1580935 2497480 2529496 3161870 6323740 12647480 23474159 46948318 93896636 117370795 187793272 234741590 469483180 680750611 938966360 1361501222 2723002444 3403753055 5446004888 6807506110 13615012220 27230024440