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27943802896 = 24234792
BaseRepresentation
bin11010000001100101…
…001001100000010000
32200010110012021012211
4122001211021200100
5424212103143041
620500500401504
72006321256052
oct320145114020
980113167184
1027943802896
111093a603789
1254ba3a6294
1328343a2a19
1414d13218d2
15ad8365481
hex681949810

27943802896 has 75 divisors (see below), whose sum is σ = 57327620511. Its totient is φ = 13195257504.

The previous prime is 27943802893. The next prime is 27943802897. The reversal of 27943802896 is 69820834972.

The square root of 27943802896 is 167164.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×279438028963 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 27943802896.

It is not an unprimeable number, because it can be changed into a prime (27943802893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 353718985 + ... + 353719063.

Almost surely, 227943802896 is an apocalyptic number.

27943802896 is the 167164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27943802896

27943802896 is an abundant number, since it is smaller than the sum of its proper divisors (29383817615).

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

27943802896 is an frugal number, since it uses more digits than its factorization.

27943802896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 58.

The spelling of 27943802896 in words is "twenty-seven billion, nine hundred forty-three million, eight hundred two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 23 46 79 92 158 184 316 368 529 632 1058 1264 1817 2116 3634 4232 6241 7268 8464 12167 12482 14536 24334 24964 29072 41791 48668 49928 83582 97336 99856 143543 167164 194672 279841 287086 334328 559682 574172 668656 961193 1119364 1148344 1922386 2238728 2296688 3301489 3844772 4477456 6602978 7689544 13205956 15379088 22107439 26411912 44214878 52823824 75934247 88429756 151868494 176859512 303736988 353719024 607473976 1214947952 1746487681 3492975362 6985950724 13971901448 27943802896