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27340346670 = 23571310619439
BaseRepresentation
bin11001011101100111…
…001001010100101110
32121120101200111220020
4121131213021110232
5421443112043140
620320542303010
71655343053340
oct313547112456
977511614806
1027340346670
111065aa0512a
125370287a66
132769366c30
141475119290
15aa03b36d0
hex65d9c952e

27340346670 has 128 divisors (see below), whose sum is σ = 80843857920. Its totient is φ = 5762465280.

The previous prime is 27340346653. The next prime is 27340346689. The reversal of 27340346670 is 7664304372.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2891811 + ... + 2901249.

It is an arithmetic number, because the mean of its divisors is an integer number (631592640).

Almost surely, 227340346670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27340346670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40421928960).

27340346670 is an abundant number, since it is smaller than the sum of its proper divisors (53503511250).

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

27340346670 is a wasteful number, since it uses less digits than its factorization.

27340346670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10530.

The product of its (nonzero) digits is 508032, while the sum is 42.

The spelling of 27340346670 in words is "twenty-seven billion, three hundred forty million, three hundred forty-six thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1061 1365 2122 2730 3183 5305 6366 7427 9439 10610 13793 14854 15915 18878 22281 27586 28317 31830 37135 41379 44562 47195 56634 66073 68965 74270 82758 94390 96551 111405 122707 132146 137930 141585 193102 198219 206895 222810 245414 283170 289653 330365 368121 396438 413790 482755 579306 613535 660730 736242 858949 965510 991095 1227070 1448265 1717898 1840605 1982190 2576847 2896530 3681210 4294745 5153694 8589490 10014779 12884235 20029558 25768470 30044337 50073895 60088674 70103453 100147790 130192127 140206906 150221685 210310359 260384254 300443370 350517265 390576381 420620718 650960635 701034530 781152762 911344889 1051551795 1301921270 1822689778 1952881905 2103103590 2734034667 3905763810 4556724445 5468069334 9113448890 13670173335 27340346670