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68343000034386 = 237111030114360603
BaseRepresentation
bin11111000101000010110000…
…01111010110110001010010
322221222112020011212000120210
433202201120033112301102
532424212431002100021
6401204201335344550
720252422152226140
oct1742413017266122
9287875204760523
1068343000034386
111a85a115903940
1277b93b8522156
132c19942a4a87c
1412c3b66cda590
157d7b5925ce76
hex3e28583d6c52

68343000034386 has 64 divisors (see below), whose sum is σ = 170430269654016. Its totient is φ = 17749704072000.

The previous prime is 68343000034381. The next prime is 68343000034459.

68343000034386 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (68343000034381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2421240 + ... + 11939363.

It is an arithmetic number, because the mean of its divisors is an integer number (2662972963344).

Almost surely, 268343000034386 is an apocalyptic number.

68343000034386 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

68343000034386 is an abundant number, since it is smaller than the sum of its proper divisors (102087269619630).

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

68343000034386 is a wasteful number, since it uses less digits than its factorization.

68343000034386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14370927.

The product of its (nonzero) digits is 2985984, while the sum is 48.

It can be divided in two parts, 683430000 and 34386, that added together give a palindrome (683464386).

The spelling of 68343000034386 in words is "sixty-eight trillion, three hundred forty-three billion, thirty-four thousand, three hundred eighty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 10301 20602 30903 61806 72107 113311 144214 216321 226622 339933 432642 679866 793177 1586354 2379531 4759062 14360603 28721206 43081809 86163618 100524221 157966633 201048442 301572663 315933266 473899899 603145326 947799798 1105766431 2211532862 3317299293 6634598586 147928571503 295857143006 443785714509 887571429018 1035500000521 1627214286533 2071000001042 3106500001563 3254428573066 4881642859599 6213000003126 9763285719198 11390500005731 22781000011462 34171500017193 68343000034386