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431300052108 = 223310955765777
BaseRepresentation
bin1100100011010110111…
…11001000010010001100
31112020021001010202121000
412101223133020102030
524031300303131413
6530045252540300
743106005645152
oct6215337102214
91466231122530
10431300052108
11156a056a9862
126b709621690
1331896159033
1416c371433d2
15b344723073
hex646b7c848c

431300052108 has 96 divisors (see below), whose sum is σ = 1130487019200. Its totient is φ = 142189820928.

The previous prime is 431300052059. The next prime is 431300052121. The reversal of 431300052108 is 801250003134.

It is a happy number.

431300052108 is a `hidden beast` number, since 4 + 3 + 130 + 0 + 0 + 521 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6524116 + ... + 6589892.

It is an arithmetic number, because the mean of its divisors is an integer number (11775906450).

Almost surely, 2431300052108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431300052108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565243509600).

431300052108 is an abundant number, since it is smaller than the sum of its proper divisors (699186967092).

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

431300052108 is a wasteful number, since it uses less digits than its factorization.

431300052108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66456 (or 66448 counting only the distinct ones).

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

The spelling of 431300052108 in words is "four hundred thirty-one billion, three hundred million, fifty-two thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 109 218 327 436 557 654 981 1114 1308 1671 1962 2228 2943 3342 3924 5013 5886 6684 10026 11772 15039 20052 30078 60156 60713 65777 121426 131554 182139 197331 242852 263108 364278 394662 546417 591993 728556 789324 1092834 1183986 1639251 1775979 2185668 2367972 3278502 3551958 6557004 7103916 7169693 14339386 21509079 28678772 36637789 43018158 64527237 73275578 86036316 109913367 129054474 146551156 193581711 219826734 258108948 329740101 387163422 439653468 659480202 774326844 989220303 1318960404 1978440606 3956881212 3993519001 7987038002 11980557003 15974076004 23961114006 35941671009 47922228012 71883342018 107825013027 143766684036 215650026054 431300052108