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27539228672 = 2111921932
BaseRepresentation
bin11001101001011101…
…110100100000000000
32122002020220202201022
4121221131310200000
5422400020304142
620352405125012
71663306403264
oct315135644000
978066822638
1027539228672
11107521a411a
1254069b9768
13279b61c3a7
1414936ca0a4
15ab2a9b6d2
hex669774800

27539228672 has 108 divisors (see below), whose sum is σ = 58418381385. Its totient is φ = 12977307648.

The previous prime is 27539228671. The next prime is 27539228701. The reversal of 27539228672 is 27682293572.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 25569289216 + 1969939456 = 159904^2 + 44384^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=117344.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27539228671) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 142690208 + ... + 142690400.

Almost surely, 227539228672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27539228672

27539228672 is an abundant number, since it is smaller than the sum of its proper divisors (30879152713).

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

27539228672 is an frugal number, since it uses more digits than its factorization.

27539228672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 214 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 53.

The spelling of 27539228672 in words is "twenty-seven billion, five hundred thirty-nine million, two hundred twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 193 256 304 361 386 512 608 722 772 1024 1216 1444 1544 2048 2432 2888 3088 3667 4864 5776 6176 7334 9728 11552 12352 14668 19456 23104 24704 29336 37249 38912 46208 49408 58672 69673 74498 92416 98816 117344 139346 148996 184832 197632 234688 278692 297992 369664 395264 469376 557384 595984 707731 739328 938752 1114768 1191968 1415462 1877504 2229536 2383936 2830924 3755008 4459072 4767872 5661848 7510016 8918144 9535744 11323696 13446889 17836288 19071488 22647392 26893778 35672576 38142976 45294784 53787556 71345152 76285952 90589568 107575112 142690304 181179136 215150224 362358272 430300448 724716544 860600896 1449433088 1721201792 3442403584 6884807168 13769614336 27539228672