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27774114348 = 223194314919013
BaseRepresentation
bin11001110111011101…
…110101101000101100
32122200121220012021210
4121313131311220230
5423340133124343
620431555354420
72002161035211
oct316735655054
978617805253
1027774114348
1110862844212
1254715b2a10
13280819c3b6
1414b698db08
15ac84e7333
hex677775a2c

27774114348 has 96 divisors (see below), whose sum is σ = 70275744000. Its totient is φ = 8508858624.

The previous prime is 27774114323. The next prime is 27774114371. The reversal of 27774114348 is 84341147772.

It is a junction number, because it is equal to n+sod(n) for n = 27774114297 and 27774114306.

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, 1451290 + ... + 1470302.

It is an arithmetic number, because the mean of its divisors is an integer number (732039000).

Almost surely, 227774114348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27774114348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35137872000).

27774114348 is an abundant number, since it is smaller than the sum of its proper divisors (42501629652).

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

27774114348 is a wasteful number, since it uses less digits than its factorization.

27774114348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19231 (or 19229 counting only the distinct ones).

The product of its digits is 1053696, while the sum is 48.

The spelling of 27774114348 in words is "twenty-seven billion, seven hundred seventy-four million, one hundred fourteen thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 19 38 43 57 76 86 114 129 149 172 228 258 298 447 516 596 817 894 1634 1788 2451 2831 3268 4902 5662 6407 8493 9804 11324 12814 16986 19013 19221 25628 33972 38026 38442 57039 76052 76884 114078 121733 228156 243466 361247 365199 486932 722494 730398 817559 1083741 1444988 1460796 1635118 2167482 2452677 2832937 3270236 4334964 4905354 5665874 8498811 9810708 11331748 15533621 16997622 31067242 33995244 46600863 53825803 62134484 93201726 107651606 121816291 161477409 186403452 215303212 243632582 322954818 365448873 487265164 645909636 730897746 1461795492 2314509529 4629019058 6943528587 9258038116 13887057174 27774114348