Search a number
-
+
27369656340 = 223513311131913
BaseRepresentation
bin11001011111010110…
…111101000000010100
32121122102211121012120
4121133112331000110
5422023113000330
620323510415540
71656150145305
oct313726750024
977572747176
1027369656340
11106755039a4
12537a0615b0
132772459930
141478d887ac
15aa2c52c10
hex65f5bd014

27369656340 has 96 divisors (see below), whose sum is σ = 85192375296. Its totient is φ = 6519813120.

The previous prime is 27369656339. The next prime is 27369656341. The reversal of 27369656340 is 4365696372.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27369656339) and next prime (27369656341).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27369656341) 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, 541777 + ... + 590136.

It is an arithmetic number, because the mean of its divisors is an integer number (887420576).

Almost surely, 227369656340 is an apocalyptic number.

27369656340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27369656340 is an abundant number, since it is smaller than the sum of its proper divisors (57822718956).

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

27369656340 is a wasteful number, since it uses less digits than its factorization.

27369656340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131969 (or 1131967 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 51.

The spelling of 27369656340 in words is "twenty-seven billion, three hundred sixty-nine million, six hundred fifty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 31 39 52 60 62 65 78 93 124 130 155 156 186 195 260 310 372 390 403 465 620 780 806 930 1209 1612 1860 2015 2418 4030 4836 6045 8060 12090 24180 1131913 2263826 3395739 4527652 5659565 6791478 11319130 13582956 14714869 16978695 22638260 29429738 33957390 35089303 44144607 58859476 67914780 70178606 73574345 88289214 105267909 140357212 147148690 175446515 176578428 210535818 220723035 294297380 350893030 421071636 441446070 456160939 526339545 701786060 882892140 912321878 1052679090 1368482817 1824643756 2105358180 2280804695 2736965634 4561609390 5473931268 6842414085 9123218780 13684828170 27369656340