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1168384627242 = 232767313442177
BaseRepresentation
bin10001000000001001001…
…001101001001000101010
311010200210201210202202200
4101000021021221020222
5123120322431032432
62252425401241030
7150261442316430
oct21001111511052
94120721722680
101168384627242
11410566731658
1216a535793176
1386241666951
144079b746d50
15205d4377a7c
hex1100926922a

1168384627242 has 96 divisors (see below), whose sum is σ = 2945712012672. Its totient is φ = 327790374912.

The previous prime is 1168384627229. The next prime is 1168384627247. The reversal of 1168384627242 is 2427264838611.

1168384627242 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 3 + 8 + 4 + 627 + 2 + 4 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1168384627247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2421258 + ... + 2863434.

It is an arithmetic number, because the mean of its divisors is an integer number (30684500132).

Almost surely, 21168384627242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1168384627242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472856006336).

1168384627242 is an abundant number, since it is smaller than the sum of its proper divisors (1777327385430).

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

1168384627242 is a wasteful number, since it uses less digits than its factorization.

1168384627242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442572 (or 442569 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 1168384627242 in words is "one trillion, one hundred sixty-eight billion, three hundred eighty-four million, six hundred twenty-seven thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 67 126 134 201 313 402 469 603 626 938 939 1206 1407 1878 2191 2814 2817 4221 4382 5634 6573 8442 13146 19719 20971 39438 41942 62913 125826 146797 188739 293594 377478 440391 442177 880782 884354 1321173 1326531 2642346 2653062 3095239 3979593 6190478 7959186 9285717 18571434 27857151 29625859 55714302 59251718 88877577 138401401 177755154 207381013 266632731 276802802 414762026 415204203 533265462 622143039 830408406 968809807 1244286078 1245612609 1866429117 1937619614 2491225218 2906429421 3732858234 5812858842 8719288263 9272893867 17438576526 18545787734 27818681601 55637363202 64910257069 83456044803 129820514138 166912089606 194730771207 389461542414 584192313621 1168384627242