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348469346916 = 223326631211629
BaseRepresentation
bin1010001001000100110…
…01000100001001100100
31020022110102112222002000
411010202121010021210
521202131123100131
6424030135245300
734114252401555
oct5044231041144
91208412488060
10348469346916
1112486a952aa9
1257651819830
1326b25736042
1412c1a47032c
1590e79a1ce6
hex5122644264

348469346916 has 48 divisors (see below), whose sum is σ = 903779049600. Its totient is φ = 116112734496.

The previous prime is 348469346899. The next prime is 348469346923. The reversal of 348469346916 is 619643964843.

348469346916 is a `hidden beast` number, since 3 + 4 + 84 + 6 + 93 + 469 + 1 + 6 = 666.

It is a super-2 number, since 2×3484693469162 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318211 + ... + 893418.

It is an arithmetic number, because the mean of its divisors is an integer number (18828730200).

Almost surely, 2348469346916 is an apocalyptic number.

348469346916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

348469346916 is an abundant number, since it is smaller than the sum of its proper divisors (555309702684).

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

348469346916 is a wasteful number, since it uses less digits than its factorization.

348469346916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214305 (or 1214297 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 63.

The spelling of 348469346916 in words is "three hundred forty-eight billion, four hundred sixty-nine million, three hundred forty-six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 2663 5326 7989 10652 15978 23967 31956 47934 71901 95868 143802 287604 1211629 2423258 3634887 4846516 7269774 10904661 14539548 21809322 32713983 43618644 65427966 130855932 3226568027 6453136054 9679704081 12906272108 19359408162 29039112243 38718816324 58078224486 87117336729 116156448972 174234673458 348469346916