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11139099825841 = 132139218472
BaseRepresentation
bin1010001000011000011000…
…0101101001011010110001
31110102212222000111222020221
42202012012011221122301
52430000334023411331
635405122023333041
72226526164200221
oct242060605513261
943385860458227
1011139099825841
11360507a501969
1212ba9b9bb1181
1362a54965b300
142a71c7400081
15144b48367711
hexa21861696b1

11139099825841 has 27 divisors (see below), whose sum is σ = 12155847189291. Its totient is φ = 10202746052304.

The previous prime is 11139099825803. The next prime is 11139099825851. The reversal of 11139099825841 is 14852899093111.

The square root of 11139099825841 is 3337529.

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

It can be written as a sum of positive squares in only one way, i.e., 1647795832225 + 9491303993616 = 1283665^2 + 3080796^2 .

It is not a de Polignac number, because 11139099825841 - 27 = 11139099825713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11139099825841.

It is not an unprimeable number, because it can be changed into a prime (11139099825851) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6030913980 + ... + 6030915826.

Almost surely, 211139099825841 is an apocalyptic number.

11139099825841 is the 3337529-th square number.

11139099825841 is the 1668765-th centered octagonal number.

It is an amenable number.

11139099825841 is a deficient number, since it is larger than the sum of its proper divisors (1016747363450).

11139099825841 is an frugal number, since it uses more digits than its factorization.

11139099825841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3998 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 61.

The spelling of 11139099825841 in words is "eleven trillion, one hundred thirty-nine billion, ninety-nine million, eight hundred twenty-five thousand, eight hundred forty-one".

Divisors: 1 13 139 169 1807 1847 19321 23491 24011 251173 256733 312143 3265249 3337529 3411409 35685887 43387877 44348317 463916531 474185851 576528121 6030914903 6164416063 65911833289 80137408819 856853832757 11139099825841