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27012480096 = 2537236715647
BaseRepresentation
bin11001001010000100…
…011011110001100000
32120201112202011111210
4121022010123301200
5420310143330341
620224231110120
71644252202200
oct311204336140
976645664453
1027012480096
1110501928118
12529a512340
132716460244
141443770400
15a816ecc16
hex64a11bc60

27012480096 has 144 divisors (see below), whose sum is σ = 82714576896. Its totient is φ = 7696329984.

The previous prime is 27012480091. The next prime is 27012480109. The reversal of 27012480096 is 69008421072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27012480091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1718545 + ... + 1734191.

It is an arithmetic number, because the mean of its divisors is an integer number (574406784).

Almost surely, 227012480096 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 27012480096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41357288448).

27012480096 is an abundant number, since it is smaller than the sum of its proper divisors (55702096800).

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

27012480096 is a wasteful number, since it uses less digits than its factorization.

27012480096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16041 (or 16026 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 27012480096 in words is "twenty-seven billion, twelve million, four hundred eighty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 367 392 588 672 734 784 1101 1176 1468 1568 2202 2352 2569 2936 4404 4704 5138 5872 7707 8808 10276 11744 15414 15647 17616 17983 20552 30828 31294 35232 35966 41104 46941 53949 61656 62588 71932 82208 93882 107898 109529 123312 125176 143864 187764 215796 219058 246624 250352 287728 328587 375528 431592 438116 500704 575456 657174 751056 766703 863184 876232 1314348 1502112 1533406 1726368 1752464 2300109 2628696 3066812 3504928 4600218 5257392 5742449 6133624 9200436 10514784 11484898 12267248 17227347 18400872 22969796 24534496 34454694 36801744 40197143 45939592 68909388 73603488 80394286 91879184 120591429 137818776 160788572 183758368 241182858 275637552 281380001 321577144 482365716 551275104 562760002 643154288 844140003 964731432 1125520004 1286308576 1688280006 1929462864 2251040008 3376560012 3858925728 4502080016 6753120024 9004160032 13506240048 27012480096