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27453240804 = 223112916694297
BaseRepresentation
bin11001100100010101…
…110011010111100100
32121212021010010112110
4121210111303113210
5422211012201204
620340054121020
71661213460633
oct314425632744
977767103473
1027453240804
1110708703170
1253a2050170
1327868736b2
14148610551a
15aaa263889
hex6645735e4

27453240804 has 96 divisors (see below), whose sum is σ = 72350812800. Its totient is φ = 8025615360.

The previous prime is 27453240791. The next prime is 27453240817. The reversal of 27453240804 is 40804235472.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27453240791) and next prime (27453240817).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6386784 + ... + 6391080.

It is an arithmetic number, because the mean of its divisors is an integer number (753654300).

Almost surely, 227453240804 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 27453240804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36175406400).

27453240804 is an abundant number, since it is smaller than the sum of its proper divisors (44897571996).

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

27453240804 is a wasteful number, since it uses less digits than its factorization.

27453240804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6013 (or 6011 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 39.

The spelling of 27453240804 in words is "twenty-seven billion, four hundred fifty-three million, two hundred forty thousand, eight hundred four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1669 1914 3338 3828 4297 5007 6676 8594 10014 12891 17188 18359 20028 25782 36718 47267 48401 51564 55077 73436 94534 96802 110154 124613 141801 145203 189068 193604 220308 249226 283602 290406 373839 498452 532411 567204 580812 747678 1064822 1370743 1495356 1597233 2129644 2741486 3194466 4112229 5482972 6388932 7171693 8224458 14343386 16448916 21515079 28686772 43030158 78888623 86060316 157777246 207979097 236665869 315554492 415958194 473331738 623937291 831916388 946663476 1247874582 2287770067 2495749164 4575540134 6863310201 9151080268 13726620402 27453240804