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51312421314 = 23271166156009
BaseRepresentation
bin101111110010011101…
…010110100111000010
311220110001101002012200
4233302131112213002
51320041434440224
635323403134030
73464366245650
oct576235264702
9156401332180
1051312421314
111a841584670
129b40514316
134ab993669b
1426aab65dd0
151504bda5c9
hexbf27569c2

51312421314 has 96 divisors (see below), whose sum is σ = 138822353280. Its totient is φ = 13307500800.

The previous prime is 51312421267. The next prime is 51312421327. The reversal of 51312421314 is 41312421315.

51312421314 is a `hidden beast` number, since 513 + 12 + 4 + 2 + 131 + 4 = 666.

It is a super-2 number, since 2×513124213142 (a number of 22 digits) contains 22 as substring.

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, 888142 + ... + 944150.

It is an arithmetic number, because the mean of its divisors is an integer number (1446066180).

Almost surely, 251312421314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51312421314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69411176640).

51312421314 is an abundant number, since it is smaller than the sum of its proper divisors (87509931966).

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

51312421314 is a wasteful number, since it uses less digits than its factorization.

51312421314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56696 (or 56693 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 51312421314 its reverse (41312421315), we get a palindrome (92624842629).

Subtracting from 51312421314 its reverse (41312421315), we obtain a palindrome (9999999999).

The spelling of 51312421314 in words is "fifty-one billion, three hundred twelve million, four hundred twenty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 661 693 1322 1386 1983 3966 4627 5949 7271 9254 11898 13881 14542 21813 27762 41643 43626 50897 56009 65439 83286 101794 112018 130878 152691 168027 305382 336054 392063 458073 504081 616099 784126 916146 1008162 1176189 1232198 1848297 2352378 3528567 3696594 4312693 5544891 7057134 8625386 11089782 12938079 25876158 37021949 38814237 74043898 77628474 111065847 222131694 259153643 333197541 407241439 518307286 666395082 777460929 814482878 1221724317 1554921858 2332382787 2443448634 2850690073 3665172951 4664765574 5701380146 7330345902 8552070219 17104140438 25656210657 51312421314