Search a number
-
+
51588141426 = 232103127219097
BaseRepresentation
bin110000000010111001…
…001001000101110010
311221011021012010002200
4300002321021011302
51321123031011201
635411012524030
73504254652453
oct600271110562
9157137163080
1051588141426
111a973185228
129bb8920616
134b31ab2c93
1426d561912a
15151e000386
hexc02e49172

51588141426 has 48 divisors (see below), whose sum is σ = 113748670464. Its totient is φ = 16894930752.

The previous prime is 51588141421. The next prime is 51588141443. The reversal of 51588141426 is 62414188515.

51588141426 is a `hidden beast` number, since 5 + 1 + 5 + 88 + 141 + 426 = 666.

It is a super-2 number, since 2×515881414262 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51588141421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125910 + ... + 345006.

It is an arithmetic number, because the mean of its divisors is an integer number (2369763968).

Almost surely, 251588141426 is an apocalyptic number.

51588141426 is an abundant number, since it is smaller than the sum of its proper divisors (62160529038).

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

51588141426 is a wasteful number, since it uses less digits than its factorization.

51588141426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219335 (or 219332 counting only the distinct ones).

The product of its digits is 307200, while the sum is 45.

The spelling of 51588141426 in words is "fifty-one billion, five hundred eighty-eight million, one hundred forty-one thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 103 127 206 254 309 381 618 762 927 1143 1854 2286 13081 26162 39243 78486 117729 219097 235458 438194 657291 1314582 1971873 3943746 22566991 27825319 45133982 55650638 67700973 83475957 135401946 166951914 203102919 250427871 406205838 500855742 2866007857 5732015714 8598023571 17196047142 25794070713 51588141426