Search a number
-
+
10234727288709 = 3711612393039041
BaseRepresentation
bin1001010011101111010101…
…0010001100111110000101
31100020102121202000222200220
42110323311102030332011
52320141210141214314
633433434021254553
72104302040362060
oct224736522147605
940212552028626
1010234727288709
113296583810220
121193685564459
13593191036431
1427551340b8d7
1512b3670293a9
hex94ef548cf85

10234727288709 has 64 divisors (see below), whose sum is σ = 17364842864640. Its totient is φ = 5207698944000.

The previous prime is 10234727288671. The next prime is 10234727288867. The reversal of 10234727288709 is 90788272743201.

It is not a de Polignac number, because 10234727288709 - 211 = 10234727286661 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10234727283709) 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 63 ways as a sum of consecutive naturals, for example, 1848229 + ... + 4887269.

It is an arithmetic number, because the mean of its divisors is an integer number (271325669760).

Almost surely, 210234727288709 is an apocalyptic number.

It is an amenable number.

10234727288709 is a deficient number, since it is larger than the sum of its proper divisors (7130115575931).

10234727288709 is a wasteful number, since it uses less digits than its factorization.

10234727288709 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3039362.

The product of its (nonzero) digits is 18966528, while the sum is 60.

The spelling of 10234727288709 in words is "ten trillion, two hundred thirty-four billion, seven hundred twenty-seven million, two hundred eighty-eight thousand, seven hundred nine".

Divisors: 1 3 7 11 21 33 61 77 183 231 239 427 671 717 1281 1673 2013 2629 4697 5019 7887 14091 14579 18403 43737 55209 102053 160369 306159 481107 1122583 3039041 3367749 9117123 21273287 33429451 63819861 100288353 185381501 234006157 556144503 702018471 726330799 1297670507 2039196511 2178992397 3893011521 5084315593 6117589533 7989638789 14274375577 15252946779 23968916367 42823126731 44306178739 55927471523 132918536217 167782414569 310143251173 487367966129 930429753519 1462103898387 3411575762903 10234727288709