Search a number
-
+
6106562550 = 23252114130089
BaseRepresentation
bin1011010111111101…
…01011111111110110
3120202120120112000100
411223332223333312
5100001240000200
62445540454530
7304216632234
oct55376537766
916676515010
106106562550
112653aa4910
1212250aa446
1376419962a
1441d02b954
1525b186d00
hex16bfabff6

6106562550 has 144 divisors (see below), whose sum is σ = 18334920240. Its totient is φ = 1444224000.

The previous prime is 6106562549. The next prime is 6106562557. The reversal of 6106562550 is 552656016.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6106562557) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 187906 + ... + 217994.

It is an arithmetic number, because the mean of its divisors is an integer number (127325835).

Almost surely, 26106562550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6106562550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9167460120).

6106562550 is an abundant number, since it is smaller than the sum of its proper divisors (12228357690).

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

6106562550 is a wasteful number, since it uses less digits than its factorization.

6106562550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30159 (or 30151 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 6106562550 is about 78144.4978869274. The cubic root of 6106562550 is about 1827.8151386286.

The spelling of 6106562550 in words is "six billion, one hundred six million, five hundred sixty-two thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 41 45 50 55 66 75 82 90 99 110 123 150 165 198 205 225 246 275 330 369 410 450 451 495 550 615 738 825 902 990 1025 1230 1353 1650 1845 2050 2255 2475 2706 3075 3690 4059 4510 4950 6150 6765 8118 9225 11275 13530 18450 20295 22550 30089 33825 40590 60178 67650 90267 101475 150445 180534 202950 270801 300890 330979 451335 541602 661958 752225 902670 992937 1233649 1354005 1504450 1654895 1985874 2256675 2467298 2708010 2978811 3309790 3700947 4513350 4964685 5957622 6168245 6770025 7401894 8274475 9929370 11102841 12336490 13540050 13570139 14894055 16548950 18504735 22205682 24823425 27140278 29788110 30841225 37009470 40710417 49646850 55514205 61682450 67850695 74470275 81420834 92523675 111028410 122131251 135701390 148940550 185047350 203552085 244262502 277571025 339253475 407104170 555142050 610656255 678506950 1017760425 1221312510 2035520850 3053281275 6106562550