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68254216315321 = 5412152712
BaseRepresentation
bin11111000010011101011000…
…10100010110000110111001
322221200001001200121210020111
433201032230110112012321
532421234113334042241
6401055315404224321
720243130052120141
oct1741165424260671
9287601050553214
1068254216315321
111a8254a57a9703
1277a415ab3b0a1
132c11463c0046a
1412bd743769921
157d56aea85c81
hex3e13ac5161b9

68254216315321 has 9 divisors (see below), whose sum is σ = 68385090681999. Its totient is φ = 68123591983800.

The previous prime is 68254216315301. The next prime is 68254216315387. The reversal of 68254216315321 is 12351361245286.

The square root of 68254216315321 is 8261611.

It is a perfect power (a square), and thus also a powerful number.

68254216315321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 27117129322921 + 41137086992400 = 5207411^2 + 6413820^2 .

It is not a de Polignac number, because 68254216315321 - 27 = 68254216315193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68254216315301) 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 8 ways as a sum of consecutive naturals, for example, 4469523916 + ... + 4469539186.

It is an arithmetic number, because the mean of its divisors is an integer number (7598343409111).

Almost surely, 268254216315321 is an apocalyptic number.

68254216315321 is the 8261611-st square number.

68254216315321 is the 4130806-th centered octagonal number.

It is an amenable number.

68254216315321 is a deficient number, since it is larger than the sum of its proper divisors (130874366678).

68254216315321 is an frugal number, since it uses more digits than its factorization.

68254216315321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31624 (or 15812 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 49.

The spelling of 68254216315321 in words is "sixty-eight trillion, two hundred fifty-four billion, two hundred sixteen million, three hundred fifteen thousand, three hundred twenty-one".

Divisors: 1 541 15271 292681 8261611 233203441 4469531551 126163061581 68254216315321