Search a number
-
+
27160491141 = 327539118929
BaseRepresentation
bin11001010010111001…
…000011010010000101
32121002212020220111100
4121102321003102011
5421111041204031
620251035330313
71651030236240
oct312271032205
977085226440
1027160491141
1110578430aa3
12531bbb0999
13273b013a44
14145929c257
15a8e6d7de6
hex652e43485

27160491141 has 48 divisors (see below), whose sum is σ = 45737602560. Its totient is φ = 15209026560.

The previous prime is 27160491121. The next prime is 27160491191. The reversal of 27160491141 is 14119406172.

27160491141 is a `hidden beast` number, since 2 + 7 + 1 + 604 + 9 + 1 + 1 + 41 = 666.

It is not a de Polignac number, because 27160491141 - 210 = 27160490117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27160491096 and 27160491105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27160491121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3037365 + ... + 3046293.

It is an arithmetic number, because the mean of its divisors is an integer number (952866720).

Almost surely, 227160491141 is an apocalyptic number.

27160491141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

27160491141 is a deficient number, since it is larger than the sum of its proper divisors (18577111419).

27160491141 is a wasteful number, since it uses less digits than its factorization.

27160491141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9906 (or 9903 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 27160491141 in words is "twenty-seven billion, one hundred sixty million, four hundred ninety-one thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 53 63 159 371 477 911 1113 2733 3339 6377 8199 8929 19131 26787 48283 57393 62503 80361 144849 187509 337981 434547 473237 562527 1013943 1419711 3041829 3312659 4259133 8134319 9937977 24402957 29813931 56940233 73208871 170820699 431118907 512462097 1293356721 3017832349 3880070163 9053497047 27160491141