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51433117143252 = 223131123966130389
BaseRepresentation
bin10111011000111001101001…
…01011010101000011010100
320202002221212100220020122220
423230130310223111003110
523220140010442041002
6301220014155222340
713555630406225205
oct1354346453250324
9222087770806586
1051433117143252
111542a731850259
1259280baa479b0
13229117843ccb0
14c9b53a2395ac
155e2d603cb7bc
hex2ec734ad50d4

51433117143252 has 96 divisors (see below), whose sum is σ = 129374925133440. Its totient is φ = 15809325396480.

The previous prime is 51433117143251. The next prime is 51433117143301. The reversal of 51433117143252 is 25234171133415.

51433117143252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51433117143251) 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 31 ways as a sum of consecutive naturals, for example, 1692476074 + ... + 1692506462.

It is an arithmetic number, because the mean of its divisors is an integer number (1347655470140).

Almost surely, 251433117143252 is an apocalyptic number.

51433117143252 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

51433117143252 is an abundant number, since it is smaller than the sum of its proper divisors (77941807990188).

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

51433117143252 is a wasteful number, since it uses less digits than its factorization.

51433117143252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41193 (or 41191 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

Adding to 51433117143252 its reverse (25234171133415), we get a palindrome (76667288276667).

The spelling of 51433117143252 in words is "fifty-one trillion, four hundred thirty-three billion, one hundred seventeen million, one hundred forty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 1123 2246 3369 4492 6738 9661 13476 14599 19322 28983 29198 30389 38644 43797 57966 58396 60778 87594 91167 115932 121556 125593 175188 182334 251186 364668 376779 395057 502372 753558 790114 1185171 1507116 1580228 2370342 4740684 10849303 21698606 32547909 34126847 43397212 65095818 68253694 102380541 130191636 136507388 141040939 204761082 282081878 293588129 409522164 423122817 443649011 564163756 587176258 846245634 880764387 887298022 1174352516 1330947033 1692491268 1761528774 1774596044 2661894066 3523057548 3816645677 5323788132 7633291354 11449937031 15266582708 22899874062 45799748124 329699468867 659398937734 989098406601 1318797875468 1978196813202 3956393626404 4286093095271 8572186190542 12858279285813 17144372381084 25716558571626 51433117143252