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51283631231 = 7223791314397
BaseRepresentation
bin101111110000101111…
…100001110001111111
311220101001012101122022
4233300233201301333
51320012102144411
635320454110355
73463566446600
oct576057416177
9156331171568
1051283631231
111a827300208
129b3294b3bb
134ab3996331
1426a6dcdda7
1515023eeedb
hexbf0be1c7f

51283631231 has 48 divisors (see below), whose sum is σ = 63533859840. Its totient is φ = 41187706560.

The previous prime is 51283631221. The next prime is 51283631237. The reversal of 51283631231 is 13213638215.

It is not a de Polignac number, because 51283631231 - 210 = 51283630207 is a prime.

It is a super-2 number, since 2×512836312312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 51283631191 and 51283631200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51283631237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11661125 + ... + 11665521.

It is an arithmetic number, because the mean of its divisors is an integer number (1323622080).

Almost surely, 251283631231 is an apocalyptic number.

51283631231 is a deficient number, since it is larger than the sum of its proper divisors (12250228609).

51283631231 is a wasteful number, since it uses less digits than its factorization.

51283631231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4644 (or 4637 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

The spelling of 51283631231 in words is "fifty-one billion, two hundred eighty-three million, six hundred thirty-one thousand, two hundred thirty-one".

Divisors: 1 7 23 49 79 131 161 553 917 1127 1817 3013 3871 4397 6419 10349 12719 21091 30779 72443 89033 101131 147637 215453 238027 347363 507101 576007 707917 1666189 2431541 4032049 4955419 7989349 11663323 13248161 17020787 28224343 45504553 55925443 92737127 318531871 391478101 649159889 1046604719 2229723097 7326233033 51283631231