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27130666724 = 22721718314447
BaseRepresentation
bin11001010001000111…
…010001111011100100
32121000210010200002022
4121101013101323210
5421030422313344
620244052202312
71650215601500
oct312107217344
977023120068
1027130666724
1110562610517
125312009398
132734aa0965
141455337300
15a8bc960ee
hex6511d1ee4

27130666724 has 72 divisors (see below), whose sum is σ = 58524221952. Its totient is φ = 10935025920.

The previous prime is 27130666711. The next prime is 27130666727. The reversal of 27130666724 is 42766603172.

It is not an unprimeable number, because it can be changed into a prime (27130666727) 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 23 ways as a sum of consecutive naturals, for example, 6098669 + ... + 6103115.

It is an arithmetic number, because the mean of its divisors is an integer number (812836416).

Almost surely, 227130666724 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 27130666724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29262110976).

27130666724 is an abundant number, since it is smaller than the sum of its proper divisors (31393555228).

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

27130666724 is a wasteful number, since it uses less digits than its factorization.

27130666724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6313 (or 6304 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 44.

The spelling of 27130666724 in words is "twenty-seven billion, one hundred thirty million, six hundred sixty-six thousand, seven hundred twenty-four".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 476 833 1666 1831 3332 3662 4447 7324 8894 12817 17788 25634 31127 31129 51268 62254 62258 75599 89719 124508 124516 151198 179438 217889 217903 302396 358876 435778 435806 529193 871556 871612 1058386 1525223 2116772 3050446 3704351 6100892 7408702 8142457 14817404 16284914 32569828 56997199 113994398 138421769 227988796 276843538 398980393 553687076 797960786 968952383 1595921572 1937904766 3875809532 6782666681 13565333362 27130666724