Search a number
-
+
27561505153 = 72131723412699
BaseRepresentation
bin11001101010110010…
…110011000110000001
32122010210211112022011
4121222302303012001
5422421221131103
620354522412521
71663666633300
oct315262630601
978123745264
1027561505153
1110763829836
125412361141
1327a311ba40
141496648437
15ab49ebd6d
hex66acb3181

27561505153 has 96 divisors (see below), whose sum is σ = 39093062400. Its totient is φ = 19145871360.

The previous prime is 27561505109. The next prime is 27561505157. The reversal of 27561505153 is 35150516572.

It is not a de Polignac number, because 27561505153 - 213 = 27561496961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27561505157) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10210398 + ... + 10213096.

It is an arithmetic number, because the mean of its divisors is an integer number (407219400).

Almost surely, 227561505153 is an apocalyptic number.

27561505153 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

27561505153 is a deficient number, since it is larger than the sum of its proper divisors (11531557247).

27561505153 is a wasteful number, since it uses less digits than its factorization.

27561505153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 157500, while the sum is 40.

The spelling of 27561505153 in words is "twenty-seven billion, five hundred sixty-one million, five hundred five thousand, one hundred fifty-three".

Divisors: 1 7 13 17 23 41 49 91 119 161 221 287 299 391 533 637 697 833 943 1127 1547 2009 2093 2699 2737 3731 4879 5083 6601 9061 10829 12259 14651 16031 18893 19159 26117 34153 35087 35581 45883 46207 62077 63427 85813 110659 112217 132251 208403 245609 249067 321181 434539 443989 596479 600691 774613 785519 807001 1055309 1438567 1458821 1719263 1881203 2248267 2545157 3041773 4175353 5422291 5649007 7387163 10069969 10211747 13168421 13719017 17816099 24455639 29227471 33087041 39543049 43267669 51710141 70489783 92178947 96033119 124712693 171189473 231609287 302873683 562479697 672231833 1198326311 1621265009 2120115781 3937357879 27561505153