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27138200334 = 2374319975511
BaseRepresentation
bin11001010001100100…
…000001001100001110
32121001022022102020220
4121101210001030032
5421034334402314
620244521452210
71650336616410
oct312144011416
977038272226
1027138200334
1110566896643
125314641066
13273650aa0b
1414563389b0
15a8c7833a9
hex65190130e

27138200334 has 64 divisors (see below), whose sum is σ = 63792537600. Its totient is φ = 7535293920.

The previous prime is 27138200333. The next prime is 27138200339. The reversal of 27138200334 is 43300283172.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 27138200295 and 27138200304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27138200333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321639 + ... + 397149.

It is an arithmetic number, because the mean of its divisors is an integer number (996758400).

Almost surely, 227138200334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27138200334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31896268800).

27138200334 is an abundant number, since it is smaller than the sum of its proper divisors (36654337266).

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

27138200334 is a wasteful number, since it uses less digits than its factorization.

27138200334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75765.

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 27138200334 in words is "twenty-seven billion, one hundred thirty-eight million, two hundred thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 43 86 129 199 258 301 398 597 602 903 1194 1393 1806 2786 4179 8358 8557 17114 25671 51342 59899 75511 119798 151022 179697 226533 359394 453066 528577 1057154 1585731 3171462 3246973 6493946 9740919 15026689 19481838 22728811 30053378 45080067 45457622 68186433 90160134 105186823 136372866 210373646 315560469 631120938 646147627 1292295254 1938442881 3876885762 4523033389 9046066778 13569100167 27138200334