Search a number
-
+
27076564422 = 23219315348187
BaseRepresentation
bin11001001101111000…
…111001010111000110
32120220000022222200100
4121031320321113012
5420423100030142
620234440424530
71645661000025
oct311570712706
976800288610
1027076564422
1110535018676
1252b7a78146
13272680a26b
14144c0928bc
15a8715ab4c
hex64de395c6

27076564422 has 96 divisors (see below), whose sum is σ = 64949713920. Its totient is φ = 8118377280.

The previous prime is 27076564399. The next prime is 27076564433. The reversal of 27076564422 is 22446567072.

It is a happy number.

It is a super-3 number, since 3×270765644223 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 537813 + ... + 585999.

It is an arithmetic number, because the mean of its divisors is an integer number (676559520).

Almost surely, 227076564422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27076564422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32474856960).

27076564422 is an abundant number, since it is smaller than the sum of its proper divisors (37873149498).

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

27076564422 is a wasteful number, since it uses less digits than its factorization.

27076564422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48298 (or 48295 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 27076564422 in words is "twenty-seven billion, seventy-six million, five hundred sixty-four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 31 38 53 57 62 93 106 114 159 171 186 279 318 342 477 558 589 954 1007 1178 1643 1767 2014 3021 3286 3534 4929 5301 6042 9063 9858 10602 14787 18126 29574 31217 48187 62434 93651 96374 144561 187302 280953 289122 433683 561906 867366 915553 1493797 1831106 2553911 2746659 2987594 4481391 5107822 5493318 7661733 8239977 8962782 13444173 15323466 16479954 22985199 26888346 28382143 45970398 48524309 56764286 79171241 85146429 97048618 145572927 158342482 170292858 237513723 255439287 291145854 436718781 475027446 510878574 712541169 873437562 1425082338 1504253579 3008507158 4512760737 9025521474 13538282211 27076564422