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51071063040 = 2103251108313
BaseRepresentation
bin101111100100000100…
…101001010000000000
311212211020012210220100
4233210010221100000
51314043143004130
635243422042400
73455405605344
oct574404512000
9155736183810
1051071063040
111a728313618
129a93719400
134a7b92b53a
142686a99624
1514dd911c60
hexbe4129400

51071063040 has 132 divisors (see below), whose sum is σ = 176960063124. Its totient is φ = 13618937856.

The previous prime is 51071063027. The next prime is 51071063047. The reversal of 51071063040 is 4036017015.

51071063040 is a `hidden beast` number, since 5 + 10 + 7 + 10 + 630 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30829741056 + 20241321984 = 175584^2 + 142272^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 51071062995 and 51071063013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51071063047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 508077 + ... + 600236.

Almost surely, 251071063040 is an apocalyptic number.

It is an amenable number.

51071063040 is an abundant number, since it is smaller than the sum of its proper divisors (125889000084).

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

51071063040 is a wasteful number, since it uses less digits than its factorization.

51071063040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108344 (or 1108323 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 51071063040 in words is "fifty-one billion, seventy-one million, sixty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 11520 15360 23040 46080 1108313 2216626 3324939 4433252 5541565 6649878 8866504 9974817 11083130 13299756 16624695 17733008 19949634 22166260 26599512 33249390 35466016 39899268 44332520 49874085 53199024 66498780 70932032 79798536 88665040 99748170 106398048 132997560 141864064 159597072 177330080 199496340 212796096 265995120 283728128 319194144 354660160 398992680 425592192 531990240 567456256 638388288 709320320 797985360 851184384 1063980480 1134912512 1276776576 1418640640 1595970720 1702368768 2127960960 2553553152 2837281280 3191941440 3404737536 4255921920 5107106304 5674562560 6383882880 8511843840 10214212608 12767765760 17023687680 25535531520 51071063040