Search a number
-
+
51366443120 = 2455997151743
BaseRepresentation
bin101111110101101011…
…011011100001110000
311220120211000200012022
4233311223123201300
51320144302134440
635333013051012
73465623363636
oct576553334160
9156524020168
1051366443120
111a86a021a93
129b56626a68
134ac7b9c555
1426b3dc9356
15150980bcb5
hexbf5adb870

51366443120 has 160 divisors (see below), whose sum is σ = 123682083840. Its totient is φ = 19830988800.

The previous prime is 51366443081. The next prime is 51366443137. The reversal of 51366443120 is 2134466315.

It is a super-2 number, since 2×513664431202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69133469 + ... + 69134211.

It is an arithmetic number, because the mean of its divisors is an integer number (773013024).

Almost surely, 251366443120 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 51366443120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61841041920).

51366443120 is an abundant number, since it is smaller than the sum of its proper divisors (72315640720).

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

51366443120 is a wasteful number, since it uses less digits than its factorization.

51366443120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 51366443120 in words is "fifty-one billion, three hundred sixty-six million, four hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 97 118 151 194 236 295 302 388 472 485 590 604 743 755 776 944 970 1180 1208 1486 1510 1552 1940 2360 2416 2972 3020 3715 3880 4720 5723 5944 6040 7430 7760 8909 11446 11888 12080 14647 14860 17818 22892 28615 29294 29720 35636 43837 44545 45784 57230 58588 59440 71272 72071 73235 87674 89090 91568 112193 114460 117176 142544 144142 146470 175348 178180 219185 224386 228920 234352 288284 292940 350696 356360 360355 438370 448772 457840 560965 576568 585880 701392 712720 720710 864173 876740 897544 1121930 1153136 1171760 1441420 1728346 1753480 1795088 2243860 2882840 3456692 3506960 4252189 4320865 4487720 5765680 6619387 6913384 8504378 8641730 8975440 10882721 13238774 13826768 17008756 17283460 21260945 21765442 26477548 33096935 34017512 34566920 42521890 43530884 52955096 54413605 66193870 68035024 69133840 85043780 87061768 105910192 108827210 132387740 170087560 174123536 217654420 264775480 340175120 435308840 529550960 642080539 870617680 1284161078 2568322156 3210402695 5136644312 6420805390 10273288624 12841610780 25683221560 51366443120