Search a number
-
+
51025402134 = 23273122135903
BaseRepresentation
bin101111100001010110…
…011101100100010110
311212201001021222220200
4233201112131210112
51314000000332014
635235111241330
73454312522230
oct574126354426
9155631258820
1051025402134
111a704566933
129a80379246
134a72332155
1426809b1250
1514d98e2a09
hexbe159d916

51025402134 has 96 divisors (see below), whose sum is σ = 130505416704. Its totient is φ = 14099641920.

The previous prime is 51025402121. The next prime is 51025402147. The reversal of 51025402134 is 43120452015.

51025402134 is a `hidden beast` number, since 5 + 102 + 540 + 2 + 13 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (51025402121) and next prime (51025402147).

It is a junction number, because it is equal to n+sod(n) for n = 51025402098 and 51025402107.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 8641027 + ... + 8646929.

It is an arithmetic number, because the mean of its divisors is an integer number (1359431424).

Almost surely, 251025402134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51025402134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65252708352).

51025402134 is an abundant number, since it is smaller than the sum of its proper divisors (79480014570).

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

51025402134 is a wasteful number, since it uses less digits than its factorization.

51025402134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8162 (or 8159 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 51025402134 its reverse (43120452015), we get a palindrome (94145854149).

The spelling of 51025402134 in words is "fifty-one billion, twenty-five million, four hundred two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1302 1953 2213 3906 4426 5903 6639 11806 13278 15491 17709 19917 30982 35418 39834 41321 46473 53127 68603 82642 92946 106254 123963 137206 139419 182993 205809 247926 278838 365986 371889 411618 480221 548979 617427 743778 960442 1097958 1234854 1280951 1440663 1646937 2561902 2881326 3293874 3842853 4321989 7685706 8643978 11528559 13063339 23057118 26126678 39190017 78380034 91443373 117570051 182886746 235140102 274330119 404963509 548660238 809927018 822990357 1214890527 1645980714 2429781054 2834744563 3644671581 5669489126 7289343162 8504233689 17008467378 25512701067 51025402134