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27045339000 = 2335375711909
BaseRepresentation
bin11001001100000001…
…110001111101111000
32120210211120120110020
4121030001301331320
5420342101322000
620231403250440
71645131405561
oct311401617570
976724516406
1027045339000
1110519430539
1252a9519a20
1327201c6594
141447c85168
15a8453dba0
hex64c071f78

27045339000 has 128 divisors (see below), whose sum is σ = 84500020800. Its totient is φ = 7201958400.

The previous prime is 27045338989. The next prime is 27045339001. The reversal of 27045339000 is 93354072.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27045339001) by changing a digit.

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, 2265046 + ... + 2276954.

Almost surely, 227045339000 is an apocalyptic number.

27045339000 is a gapful number since it is divisible by the number (20) 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 27045339000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42250010400).

27045339000 is an abundant number, since it is smaller than the sum of its proper divisors (57454681800).

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

27045339000 is a wasteful number, since it uses less digits than its factorization.

27045339000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12690 (or 12676 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The spelling of 27045339000 in words is "twenty-seven billion, forty-five million, three hundred thirty-nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 757 1000 1500 1514 2271 3000 3028 3785 4542 6056 7570 9084 11355 11909 15140 18168 18925 22710 23818 30280 35727 37850 45420 47636 56775 59545 71454 75700 90840 94625 95272 113550 119090 142908 151400 178635 189250 227100 238180 283875 285816 297725 357270 378500 454200 476360 567750 595450 714540 757000 893175 1135500 1190900 1429080 1488625 1786350 2271000 2381800 2977250 3572700 4465875 5954500 7145400 8931750 9015113 11909000 17863500 18030226 27045339 35727000 36060452 45075565 54090678 72120904 90151130 108181356 135226695 180302260 216362712 225377825 270453390 360604520 450755650 540906780 676133475 901511300 1081813560 1126889125 1352266950 1803022600 2253778250 2704533900 3380667375 4507556500 5409067800 6761334750 9015113000 13522669500 27045339000