Search a number
-
+
27356123240 = 235171917312239
BaseRepresentation
bin11001011110100011…
…010101000001101000
32121121111101001021122
4121132203111001220
5422011131420430
620322304354412
71655624132225
oct313643250150
977544331248
1027356123240
1110668900316
125375615a08
13276c6cbb94
14147726494c
15aa197cee5
hex65e8d5068

27356123240 has 128 divisors (see below), whose sum is σ = 69004224000. Its totient is φ = 9699545088.

The previous prime is 27356123237. The next prime is 27356123261. The reversal of 27356123240 is 4232165372.

It is a self number, because there is not a number n which added to its sum of digits gives 27356123240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2229041 + ... + 2241279.

It is an arithmetic number, because the mean of its divisors is an integer number (539095500).

Almost surely, 227356123240 is an apocalyptic number.

27356123240 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 27356123240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34502112000).

27356123240 is an abundant number, since it is smaller than the sum of its proper divisors (41648100760).

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

27356123240 is a wasteful number, since it uses less digits than its factorization.

27356123240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12459 (or 12455 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The spelling of 27356123240 in words is "twenty-seven billion, three hundred fifty-six million, one hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 173 190 323 340 346 380 646 680 692 760 865 1292 1384 1615 1730 2584 2941 3230 3287 3460 5882 6460 6574 6920 11764 12239 12920 13148 14705 16435 23528 24478 26296 29410 32870 48956 55879 58820 61195 65740 97912 111758 117640 122390 131480 208063 223516 232541 244780 279395 416126 447032 465082 489560 558790 832252 930164 1040315 1117580 1162705 1664504 1860328 2080630 2117347 2235160 2325410 3953197 4161260 4234694 4650820 7906394 8322520 8469388 9301640 10586735 15812788 16938776 19765985 21173470 31625576 35994899 39531970 40229593 42346940 71989798 79063940 80459186 84693880 143979596 158127880 160918372 179974495 201147965 287959192 321836744 359948990 402295930 683903081 719897980 804591860 1367806162 1439795960 1609183720 2735612324 3419515405 5471224648 6839030810 13678061620 27356123240