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27726680436 = 22371328199007
BaseRepresentation
bin11001110100101000…
…111001000101110100
32122120022122022012020
4121310220321011310
5423241012233221
620423142553140
72001043616010
oct316450710564
978508568166
1027726680436
1110838a96434
1254597387b0
1327cb401cb0
1414b0563540
15ac4277ac6
hex674a39174

27726680436 has 96 divisors (see below), whose sum is σ = 79662428160. Its totient is φ = 7309125504.

The previous prime is 27726680407. The next prime is 27726680447. The reversal of 27726680436 is 63408662772.

It is a congruent number.

It is an unprimeable number.

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, 3073845 + ... + 3082851.

It is an arithmetic number, because the mean of its divisors is an integer number (829816960).

Almost surely, 227726680436 is an apocalyptic number.

27726680436 is a gapful number since it is divisible by the number (26) 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 27726680436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39831214080).

27726680436 is an abundant number, since it is smaller than the sum of its proper divisors (51935747724).

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

27726680436 is a wasteful number, since it uses less digits than its factorization.

27726680436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11853 (or 11851 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The spelling of 27726680436 in words is "twenty-seven billion, seven hundred twenty-six million, six hundred eighty thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 2819 5638 8457 9007 11276 16914 18014 19733 27021 33828 36028 36647 39466 54042 59199 63049 73294 78932 108084 109941 117091 118398 126098 146588 189147 219882 234182 236796 252196 256529 351273 378294 439764 468364 513058 702546 756588 769587 819637 1026116 1405092 1539174 1639274 2458911 3078348 3278548 4917822 9835644 25390733 50781466 76172199 101562932 152344398 177735131 304688796 330079529 355470262 533205393 660159058 710940524 990238587 1066410786 1320318116 1980477174 2132821572 2310556703 3960954348 4621113406 6931670109 9242226812 13863340218 27726680436