Search a number
-
+
27344469100 = 22521327177617
BaseRepresentation
bin11001011101110110…
…110111110001101100
32121120200102221210211
4121131312313301230
5422000141002400
620321210512204
71655423103154
oct313566676154
977520387724
1027344469100
11106622703a3
125371735664
13276a17b440
1414758ad764
15aa0929dba
hex65ddb7c6c

27344469100 has 72 divisors (see below), whose sum is σ = 64138547648. Its totient is φ = 10059033600.

The previous prime is 27344469013. The next prime is 27344469143. The reversal of 27344469100 is 196444372.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313492 + ... + 391108.

Almost surely, 227344469100 is an apocalyptic number.

27344469100 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 27344469100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32069273824).

27344469100 is an abundant number, since it is smaller than the sum of its proper divisors (36794078548).

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

27344469100 is a wasteful number, since it uses less digits than its factorization.

27344469100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77915 (or 77908 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 27344469100 in words is "twenty-seven billion, three hundred forty-four million, four hundred sixty-nine thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 271 325 542 650 1084 1300 1355 2710 3523 5420 6775 7046 13550 14092 17615 27100 35230 70460 77617 88075 155234 176150 310468 352300 388085 776170 1009021 1552340 1940425 2018042 3880850 4036084 5045105 7761700 10090210 20180420 21034207 25225525 42068414 50451050 84136828 100902100 105171035 210342070 273444691 420684140 525855175 546889382 1051710350 1093778764 1367223455 2103420700 2734446910 5468893820 6836117275 13672234550 27344469100