Search a number
-
+
51530633232 = 24313463178361
BaseRepresentation
bin101111111111011101…
…110001000000010000
311221000020222101200120
4233333131301000100
51321013320230412
635401200150240
73502656104211
oct577735610020
9157006871616
1051530633232
111a9437764a1
129ba1608380
134b22bc9270
1426cbb29408
151518e40b8c
hexbff771010

51530633232 has 80 divisors (see below), whose sum is σ = 143671304448. Its totient is φ = 15821245440.

The previous prime is 51530633213. The next prime is 51530633269. The reversal of 51530633232 is 23233603515.

It is a super-2 number, since 2×515306332322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51530633193 and 51530633202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199732 + ... + 378092.

Almost surely, 251530633232 is an apocalyptic number.

51530633232 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51530633232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71835652224).

51530633232 is an abundant number, since it is smaller than the sum of its proper divisors (92140671216).

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

51530633232 is a wasteful number, since it uses less digits than its factorization.

51530633232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178848 (or 178842 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 33.

The spelling of 51530633232 in words is "fifty-one billion, five hundred thirty million, six hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 463 624 926 1389 1852 2778 3704 5556 6019 7408 11112 12038 18057 22224 24076 36114 48152 72228 96304 144456 178361 288912 356722 535083 713444 1070166 1426888 2140332 2318693 2853776 4280664 4637386 6956079 8561328 9274772 13912158 18549544 27824316 37099088 55648632 82581143 111297264 165162286 247743429 330324572 495486858 660649144 990973716 1073554859 1321298288 1981947432 2147109718 3220664577 3963894864 4294219436 6441329154 8588438872 12882658308 17176877744 25765316616 51530633232