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6188056116 = 2231119732463
BaseRepresentation
bin1011100001101011…
…00011111000110100
3120222020220211011120
411300311203320310
5100133120243431
62502011303540
7306226415634
oct56065437064
916866824146
106188056116
112695aa6170
12124844abb0
13778030788
14429ba26c4
152633d3196
hex170d63e34

6188056116 has 144 divisors (see below), whose sum is σ = 16846986240. Its totient is φ = 1748355840.

The previous prime is 6188056111. The next prime is 6188056129. The reversal of 6188056116 is 6116508816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6188056111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13364901 + ... + 13365363.

It is an arithmetic number, because the mean of its divisors is an integer number (116992960).

Almost surely, 26188056116 is an apocalyptic number.

6188056116 is a gapful number since it is divisible by the number (66) 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 6188056116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8423493120).

6188056116 is an abundant number, since it is smaller than the sum of its proper divisors (10658930124).

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

6188056116 is a wasteful number, since it uses less digits than its factorization.

6188056116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 6188056116 is about 78664.1984386798. The cubic root of 6188056116 is about 1835.9101144522.

The spelling of 6188056116 in words is "six billion, one hundred eighty-eight million, fifty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 73 76 114 132 146 209 219 228 292 418 438 463 627 803 836 876 926 1254 1387 1389 1606 1852 2409 2508 2774 2778 3212 4161 4818 5093 5329 5548 5556 8322 8797 9636 10186 10658 15257 15279 15987 16644 17594 20372 21316 26391 30514 30558 31974 33799 35188 45771 52782 58619 61028 61116 63948 67598 91542 96767 101251 101397 105564 117238 135196 175857 183084 193534 202502 202794 234476 290301 303753 351714 371789 387068 405004 405588 580602 607506 642181 703428 743578 1113761 1115367 1161204 1215012 1284362 1487156 1926543 2227522 2230734 2467327 2568724 3341283 3853086 4455044 4461468 4934654 6682566 7063991 7401981 7706172 9869308 13365132 14127982 14803962 21191973 27140597 28255964 29607924 42383946 46879213 54281194 81421791 84767892 93758426 108562388 140637639 162843582 187516852 281275278 325687164 515671343 562550556 1031342686 1547014029 2062685372 3094028058 6188056116