Search a number
-
+
27425365128 = 2333733154799
BaseRepresentation
bin11001100010101011…
…011101110010001000
32121210022122220022000
4121202223131302020
5422131343141003
620333220431000
71660424520510
oct314253356210
977708586260
1027425365128
11106a39a3817
125394848460
132780b63605
14148252a840
15aa7aa91a3
hex662addc88

27425365128 has 128 divisors (see below), whose sum is σ = 87329280000. Its totient is φ = 7812002880.

The previous prime is 27425365091. The next prime is 27425365133. The reversal of 27425365128 is 82156352472.

27425365128 is a `hidden beast` number, since 2 + 7 + 42 + 536 + 51 + 28 = 666.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 473073 + ... + 527871.

It is an arithmetic number, because the mean of its divisors is an integer number (682260000).

Almost surely, 227425365128 is an apocalyptic number.

27425365128 is a gapful number since it is divisible by the number (28) 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 27425365128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43664640000).

27425365128 is an abundant number, since it is smaller than the sum of its proper divisors (59903914872).

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

27425365128 is a wasteful number, since it uses less digits than its factorization.

27425365128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55152 (or 55142 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 27425365128 in words is "twenty-seven billion, four hundred twenty-five million, three hundred sixty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 331 378 504 662 756 993 1324 1512 1986 2317 2648 2979 3972 4634 5958 6951 7944 8937 9268 11916 13902 17874 18536 20853 23832 27804 35748 41706 54799 55608 62559 71496 83412 109598 125118 164397 166824 219196 250236 328794 383593 438392 493191 500472 657588 767186 986382 1150779 1315176 1479573 1534372 1972764 2301558 2959146 3068744 3452337 3945528 4603116 5918292 6904674 9206232 10357011 11836584 13809348 18138469 20714022 27618696 36276938 41428044 54415407 72553876 82856088 108830814 126969283 145107752 163246221 217661628 253938566 326492442 380907849 435323256 489738663 507877132 652984884 761815698 979477326 1015754264 1142723547 1305969768 1523631396 1958954652 2285447094 3047262792 3428170641 3917909304 4570894188 6856341282 9141788376 13712682564 27425365128