Search a number
-
+
27727237434 = 231319314712841
BaseRepresentation
bin11001110100101011…
…000001000100111010
32122120100200121020210
4121310223001010322
5423241133044214
620423202531550
72001051425631
oct316453010472
978510617223
1027727237434
1110839336966
125459966bb6
1327cb568690
1414b066a518
15ac4337b59
hex674ac113a

27727237434 has 128 divisors (see below), whose sum is σ = 66277048320. Its totient is φ = 7654694400.

The previous prime is 27727237411. The next prime is 27727237469. The reversal of 27727237434 is 43473272772.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2152854 + ... + 2165694.

It is an arithmetic number, because the mean of its divisors is an integer number (517789440).

Almost surely, 227727237434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27727237434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33138524160).

27727237434 is an abundant number, since it is smaller than the sum of its proper divisors (38549810886).

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

27727237434 is a wasteful number, since it uses less digits than its factorization.

27727237434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12956.

The product of its digits is 2765952, while the sum is 48.

The spelling of 27727237434 in words is "twenty-seven billion, seven hundred twenty-seven million, two hundred thirty-seven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 19 26 31 38 39 47 57 62 78 93 94 114 141 186 247 282 403 494 589 611 741 806 893 1178 1209 1222 1457 1482 1767 1786 1833 2418 2679 2914 3534 3666 4371 5358 7657 8742 11609 12841 15314 18941 22971 23218 25682 27683 34827 37882 38523 45942 55366 56823 69654 77046 83049 113646 166098 166933 243979 333866 359879 398071 487958 500799 603527 719758 731937 796142 1001598 1079637 1194213 1207054 1463874 1810581 2159274 2388426 3171727 3621162 5174923 6343454 7563349 7845851 9515181 10349846 11467013 15126698 15524769 15691702 18709337 19030362 22690047 22934026 23537553 31049538 34401039 37418674 45380094 47075106 56128011 68802078 98323537 112256022 149071169 196647074 243221381 294970611 298142338 355477403 447213507 486442762 589941222 710954806 729664143 894427014 1066432209 1459328286 2132864418 4621206239 9242412478 13863618717 27727237434