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27074068758 = 23211435359999
BaseRepresentation
bin11001001101101111…
…011000000100010110
32120212211122012021100
4121031233120010112
5420421430200013
620234311130530
71645630534032
oct311557300426
976784565240
1027074068758
1110533673640
1252b7073a46
132726145339
14144ba031c2
15a86d16473
hex64dbd8116

27074068758 has 96 divisors (see below), whose sum is σ = 66718080000. Its totient is φ = 7862137920.

The previous prime is 27074068751. The next prime is 27074068759. The reversal of 27074068758 is 85786047072.

It is a happy number.

It is a super-2 number, since 2×270740687582 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27074068751) 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 47 ways as a sum of consecutive naturals, for example, 421243 + ... + 481241.

It is an arithmetic number, because the mean of its divisors is an integer number (694980000).

Almost surely, 227074068758 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27074068758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33359040000).

27074068758 is an abundant number, since it is smaller than the sum of its proper divisors (39644011242).

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

27074068758 is a wasteful number, since it uses less digits than its factorization.

27074068758 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60114 (or 60111 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 27074068758 in words is "twenty-seven billion, seventy-four million, sixty-eight thousand, seven hundred fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 43 53 66 86 99 106 129 159 198 258 318 387 473 477 583 774 946 954 1166 1419 1749 2279 2838 3498 4257 4558 5247 6837 8514 10494 13674 20511 25069 41022 50138 59999 75207 119998 150414 179997 225621 359994 451242 539991 659989 1079982 1319978 1979967 2579957 3179947 3959934 5159914 5939901 6359894 7739871 9539841 11879802 15479742 19079682 23219613 28379527 28619523 34979417 46439226 56759054 57239046 69958834 85138581 104938251 136737721 170277162 209876502 255415743 273475442 314814753 410213163 510831486 629629506 820426326 1230639489 1504114931 2461278978 3008229862 4512344793 9024689586 13537034379 27074068758