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27743314104 = 23331123507673
BaseRepresentation
bin11001110101101000…
…010110000010111000
32122121110221101022000
4121311220112002320
5423304242022404
620424535301000
72001335164452
oct316550260270
978543841260
1027743314104
1110847417570
12546321a760
1328019a70bc
1414b28532d2
15ac5961339
hex675a160b8

27743314104 has 128 divisors (see below), whose sum is σ = 87726067200. Its totient is φ = 8041524480.

The previous prime is 27743314073. The next prime is 27743314133. The reversal of 27743314104 is 40141334772.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199189 + ... + 308484.

It is an arithmetic number, because the mean of its divisors is an integer number (685359900).

Almost surely, 227743314104 is an apocalyptic number.

27743314104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27743314104 is an abundant number, since it is smaller than the sum of its proper divisors (59982753096).

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

27743314104 is a wasteful number, since it uses less digits than its factorization.

27743314104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507722 (or 507712 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

Adding to 27743314104 its reverse (40141334772), we get a palindrome (67884648876).

The spelling of 27743314104 in words is "twenty-seven billion, seven hundred forty-three million, three hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 27 33 36 44 46 54 66 69 72 88 92 99 108 132 138 184 198 207 216 253 264 276 297 396 414 506 552 594 621 759 792 828 1012 1188 1242 1518 1656 2024 2277 2376 2484 3036 4554 4968 6072 6831 9108 13662 18216 27324 54648 507673 1015346 1523019 2030692 3046038 4061384 4569057 5584403 6092076 9138114 11168806 11676479 12184152 13707171 16753209 18276228 22337612 23352958 27414342 33506418 35029437 36552456 44675224 46705916 50259627 54828684 67012836 70058874 93411832 100519254 105088311 109657368 128441269 134025672 140117748 150778881 201038508 210176622 256882538 280235496 301557762 315264933 385323807 402077016 420353244 513765076 603115524 630529866 770647614 840706488 1027530152 1155971421 1206231048 1261059732 1541295228 2311942842 2522119464 3082590456 3467914263 4623885684 6935828526 9247771368 13871657052 27743314104