Search a number
-
+
74277120060 = 2232511132885669
BaseRepresentation
bin100010100101101000…
…0101110100000111100
321002201111111122120200
41011023100232200330
52204104420320220
654042240243500
75236441050303
oct1051320564074
9232644448520
1074277120060
1129556552740
121248b310590
1370095b5920
143848aa543a
151dead75890
hex114b42e83c

74277120060 has 144 divisors (see below), whose sum is σ = 264696737760. Its totient is φ = 16621447680.

The previous prime is 74277120019. The next prime is 74277120119. The reversal of 74277120060 is 6002177247.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 74277119997 and 74277120024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1417095 + ... + 1468574.

It is an arithmetic number, because the mean of its divisors is an integer number (1838171790).

Almost surely, 274277120060 is an apocalyptic number.

It is an amenable number.

74277120060 is an abundant number, since it is smaller than the sum of its proper divisors (190419617700).

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

74277120060 is a wasteful number, since it uses less digits than its factorization.

74277120060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2885708 (or 2885703 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 74277120060 in words is "seventy-four billion, two hundred seventy-seven million, one hundred twenty thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 130 132 143 156 165 180 195 198 220 234 260 286 330 390 396 429 468 495 572 585 660 715 780 858 990 1170 1287 1430 1716 1980 2145 2340 2574 2860 4290 5148 6435 8580 12870 25740 2885669 5771338 8657007 11542676 14428345 17314014 25971021 28856690 31742359 34628028 37513697 43285035 51942042 57713380 63484718 75027394 86570070 95227077 103884084 112541091 126969436 129855105 150054788 158711795 173140140 187568485 190454154 225082182 259710210 285681231 317423590 337623273 375136970 380908308 412650667 450164364 476135385 519420420 562705455 571362462 634847180 675246546 750273940 825301334 952270770 1125410910 1142724924 1237952001 1350493092 1428406155 1650602668 1688116365 1904541540 2063253335 2250821820 2475904002 2856812310 3376232730 3713856003 4126506670 4951808004 5713624620 6189760005 6752465460 7427712006 8253013340 12379520010 14855424012 18569280015 24759040020 37138560030 74277120060