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7999860088881 = 344332213103069
BaseRepresentation
bin111010001101001110011…
…0100011010000000110001
31001022210001000010011220000
41310122130310122000301
52022032203140321011
625003030205140213
71453653663536133
oct164323464320061
931283030104800
107999860088881
1126047a3511a11
12a92514b5a669
134604ca91840b
141d92a3c5d053
15dd164a2a356
hex7469cd1a031

7999860088881 has 40 divisors (see below), whose sum is σ = 11983536207720. Its totient is φ = 5318467112448.

The previous prime is 7999860088823. The next prime is 7999860088907. The reversal of 7999860088881 is 1888800689997.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3472412360481 + 4527447728400 = 1863441^2 + 2127780^2 .

It is not a de Polignac number, because 7999860088881 - 214 = 7999860072497 is a prime.

It is a super-2 number, since 2×79998600888812 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 7999860088881.

It is not an unprimeable number, because it can be changed into a prime (7999860048881) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 77565015 + ... + 77668083.

It is an arithmetic number, because the mean of its divisors is an integer number (299588405193).

Almost surely, 27999860088881 is an apocalyptic number.

It is an amenable number.

7999860088881 is a deficient number, since it is larger than the sum of its proper divisors (3983676118839).

7999860088881 is a wasteful number, since it uses less digits than its factorization.

7999860088881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105727 (or 105718 counting only the distinct ones).

The product of its (nonzero) digits is 1003290624, while the sum is 81.

The spelling of 7999860088881 in words is "seven trillion, nine hundred ninety-nine billion, eight hundred sixty million, eighty-eight thousand, eight hundred eighty-one".

Divisors: 1 3 9 27 81 433 1299 2213 3897 6639 11691 19917 35073 59751 103069 179253 309207 927621 958229 2782863 2874687 8348589 8624061 25872183 44628877 77616549 133886631 228091697 401659893 684275091 1204979679 2052825273 3614939037 6158475819 18475427457 98763704801 296291114403 888873343209 2666620029627 7999860088881