Search a number
-
+
27418561420 = 22519596718253
BaseRepresentation
bin11001100010010001…
…100000101110001100
32121202211212020100211
4121202101200232030
5422123122431140
620332414532204
71660312632565
oct314221405614
977684766324
1027418561420
11106a0077018
125392507064
13277c620853
14148167916c
15aa71b32ea
hex662460b8c

27418561420 has 96 divisors (see below), whose sum is σ = 62560108800. Its totient is φ = 10061086464.

The previous prime is 27418561411. The next prime is 27418561421. The reversal of 27418561420 is 2416581472.

It is not an unprimeable number, because it can be changed into a prime (27418561421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1493014 + ... + 1511266.

It is an arithmetic number, because the mean of its divisors is an integer number (651667800).

Almost surely, 227418561420 is an apocalyptic number.

27418561420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27418561420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31280054400).

27418561420 is an abundant number, since it is smaller than the sum of its proper divisors (35141547380).

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

27418561420 is a wasteful number, since it uses less digits than its factorization.

27418561420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18407 (or 18405 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 27418561420 in words is "twenty-seven billion, four hundred eighteen million, five hundred sixty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 59 67 76 95 118 134 190 236 268 295 335 380 590 670 1121 1180 1273 1340 2242 2546 3953 4484 5092 5605 6365 7906 11210 12730 15812 18253 19765 22420 25460 36506 39530 73012 75107 79060 91265 150214 182530 300428 346807 365060 375535 693614 751070 1076927 1222951 1387228 1502140 1734035 2153854 2445902 3468070 4307708 4891804 5384635 6114755 6936140 10769270 12229510 20461613 21538540 23236069 24459020 40923226 46472138 72154109 81846452 92944276 102308065 116180345 144308218 204616130 232360690 288616436 360770545 409232260 464721380 721541090 1370928071 1443082180 2741856142 5483712284 6854640355 13709280710 27418561420