Search a number
-
+
6160944216 = 23373110910853
BaseRepresentation
bin1011011110011100…
…01000110001011000
3120220100220101122010
411233032020301120
5100104200203331
62455202225520
7305450106330
oct55716106130
916810811563
106160944216
112681768639
12123b3552a0
1377252a22b
144263460c0
15260d29e46
hex16f388c58

6160944216 has 128 divisors (see below), whose sum is σ = 18338918400. Its totient is φ = 1687703040.

The previous prime is 6160944203. The next prime is 6160944217. The reversal of 6160944216 is 6124490616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6160944217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 562246 + ... + 573098.

It is an arithmetic number, because the mean of its divisors is an integer number (143272800).

Almost surely, 26160944216 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 6160944216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9169459200).

6160944216 is an abundant number, since it is smaller than the sum of its proper divisors (12177974184).

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

6160944216 is a wasteful number, since it uses less digits than its factorization.

6160944216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11009 (or 11005 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 6160944216 is about 78491.6824638127. The cubic root of 6160944216 is about 1833.2249479800.

The spelling of 6160944216 in words is "six billion, one hundred sixty million, nine hundred forty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 109 124 168 186 217 218 248 327 372 434 436 651 654 744 763 868 872 1302 1308 1526 1736 2289 2604 2616 3052 3379 4578 5208 6104 6758 9156 10137 10853 13516 18312 20274 21706 23653 27032 32559 40548 43412 47306 65118 70959 75971 81096 86824 94612 130236 141918 151942 189224 227913 260472 283836 303884 336443 455826 567672 607768 672886 911652 1009329 1182977 1345772 1823304 2018658 2355101 2365954 2691544 3548931 4037316 4710202 4731908 7065303 7097862 8074632 8280839 9420404 9463816 14130606 14195724 16561678 18840808 24842517 28261212 28391448 33123356 36672287 49685034 56522424 66246712 73344574 99370068 110016861 146689148 198740136 220033722 256706009 293378296 440067444 513412018 770118027 880134888 1026824036 1540236054 2053648072 3080472108 6160944216