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10342634041727 = 13294715122717029
BaseRepresentation
bin1001011010000001010100…
…0001110011000101111111
31100121202010221122000000222
42112200111001303011333
52323423203303313402
633555201313411555
72115142053552461
oct226402501630577
940552127560028
1010342634041727
113328317314949
1211b057b269bbb
135a03c996b150
1427a82c5c2131
1512e0804907a2
hex9681507317f

10342634041727 has 64 divisors (see below), whose sum is σ = 11898264268800. Its totient is φ = 8921963635200.

The previous prime is 10342634041723. The next prime is 10342634041771. The reversal of 10342634041727 is 72714043624301.

It is a cyclic number.

It is not a de Polignac number, because 10342634041727 - 22 = 10342634041723 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10342634041723) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 607345649 + ... + 607362677.

It is an arithmetic number, because the mean of its divisors is an integer number (185910379200).

Almost surely, 210342634041727 is an apocalyptic number.

10342634041727 is a deficient number, since it is larger than the sum of its proper divisors (1555630227073).

10342634041727 is a wasteful number, since it uses less digits than its factorization.

10342634041727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17496.

The product of its (nonzero) digits is 677376, while the sum is 44.

The spelling of 10342634041727 in words is "ten trillion, three hundred forty-two billion, six hundred thirty-four million, forty-one thousand, seven hundred twenty-seven".

Divisors: 1 13 29 47 151 227 377 611 1363 1963 2951 4379 6583 7097 10669 17029 17719 34277 56927 85579 92261 138697 205813 221377 309401 445601 493841 800363 994033 1611019 2571379 2675569 3865583 4022213 6419933 10404719 12922429 20943247 23210527 33427927 46719551 50252579 74569991 112101907 120854813 181682401 301736851 583703033 607354163 969409883 1457324791 1571112569 2361871213 3504789577 5268789629 7588139429 16927387957 27434042551 45562264501 68494265177 220056043441 356642553163 795587233979 10342634041727