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27127077344 = 2517538091163
BaseRepresentation
bin11001010000111001…
…100101100111100000
32121000112101022101022
4121100321211213200
5421024012433334
620243443225012
71650143232023
oct312071454740
977015338338
1027127077344
1110560589794
125310978168
132734114c73
141454a811ba
15a8b7d782e
hex650e659e0

27127077344 has 96 divisors (see below), whose sum is σ = 57735750240. Its totient is φ = 12498583552.

The previous prime is 27127077343. The next prime is 27127077359. The reversal of 27127077344 is 44377072172.

It is a junction number, because it is equal to n+sod(n) for n = 27127077295 and 27127077304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27127077343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23324507 + ... + 23325669.

It is an arithmetic number, because the mean of its divisors is an integer number (601414065).

Almost surely, 227127077344 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 27127077344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28867875120).

27127077344 is an abundant number, since it is smaller than the sum of its proper divisors (30608672896).

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

27127077344 is a wasteful number, since it uses less digits than its factorization.

27127077344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 44.

The spelling of 27127077344 in words is "twenty-seven billion, one hundred twenty-seven million, seventy-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 53 68 106 136 212 272 424 544 809 848 901 1163 1618 1696 1802 2326 3236 3604 4652 6472 7208 9304 12944 13753 14416 18608 19771 25888 27506 28832 37216 39542 42877 55012 61639 79084 85754 110024 123278 158168 171508 220048 246556 316336 343016 440096 493112 632672 686032 728909 940867 986224 1047863 1372064 1457818 1881734 1972448 2095726 2915636 3763468 4191452 5831272 7526936 8382904 11662544 15053872 15994739 16765808 23325088 30107744 31989478 33531616 49865951 63978956 99731902 127957912 199463804 255915824 398927608 511831648 797855216 847721167 1595710432 1695442334 3390884668 6781769336 13563538672 27127077344