Search a number
-
+
673230261150 = 2325210159324979
BaseRepresentation
bin10011100101111111010…
…01101000101110011110
32101100201120111202121200
421302333221220232132
542012233421324100
61233135552540330
766432162541446
oct11627751505636
92340646452550
10673230261150
1123a573a27687
12aa5875516a6
134b6403aa495
1424827cc1126
15127a3d57e00
hex9cbfa68b9e

673230261150 has 144 divisors (see below), whose sum is σ = 1829807282160. Its totient is φ = 177443712000.

The previous prime is 673230261133. The next prime is 673230261191. The reversal of 673230261150 is 51162032376.

673230261150 is a `hidden beast` number, since 6 + 7 + 3 + 2 + 30 + 2 + 611 + 5 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26939361 + ... + 26964339.

It is an arithmetic number, because the mean of its divisors is an integer number (12706995015).

Almost surely, 2673230261150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 673230261150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914903641080).

673230261150 is an abundant number, since it is smaller than the sum of its proper divisors (1156577021010).

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

673230261150 is a wasteful number, since it uses less digits than its factorization.

673230261150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25691 (or 25683 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 673230261150 in words is "six hundred seventy-three billion, two hundred thirty million, two hundred sixty-one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 101 150 202 225 303 450 505 593 606 909 1010 1186 1515 1779 1818 2525 2965 3030 3558 4545 5050 5337 5930 7575 8895 9090 10674 14825 15150 17790 22725 24979 26685 29650 44475 45450 49958 53370 59893 74937 88950 119786 124895 133425 149874 179679 224811 249790 266850 299465 359358 374685 449622 539037 598930 624475 749370 898395 1078074 1124055 1248950 1497325 1796790 1873425 2248110 2522879 2695185 2994650 3746850 4491975 5045758 5390370 5620275 7568637 8983950 11240550 12614395 13475925 14812547 15137274 22705911 25228790 26951850 29625094 37843185 44437641 45411822 63071975 74062735 75686370 88875282 113529555 126143950 133312923 148125470 189215925 222188205 227059110 266625846 370313675 378431850 444376410 567647775 666564615 740627350 1110941025 1135295550 1333129230 1496067247 2221882050 2992134494 3332823075 4488201741 6665646150 7480336235 8976403482 13464605223 14960672470 22441008705 26929210446 37401681175 44882017410 67323026115 74803362350 112205043525 134646052230 224410087050 336615130575 673230261150