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11360630442 = 23719233716729
BaseRepresentation
bin10101001010010010…
…10111011010101010
31002022202000211012110
422211021113122222
5141231310133232
65115145423150
7551345523360
oct124511273252
932282024173
1011360630442
1148aa863887
12225079aab6
1310c0863345
1479ab47630
15467577acc
hex2a52576aa

11360630442 has 128 divisors (see below), whose sum is σ = 29294899200. Its totient is φ = 2861692416.

The previous prime is 11360630431. The next prime is 11360630447. The reversal of 11360630442 is 24403606311.

11360630442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11360630447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 670734 + ... + 687462.

It is an arithmetic number, because the mean of its divisors is an integer number (228866400).

Almost surely, 211360630442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11360630442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14647449600).

11360630442 is an abundant number, since it is smaller than the sum of its proper divisors (17934268758).

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

11360630442 is a wasteful number, since it uses less digits than its factorization.

11360630442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16820.

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 11360630442 in words is "eleven billion, three hundred sixty million, six hundred thirty thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 23 37 38 42 46 57 69 74 111 114 133 138 161 222 259 266 322 399 437 483 518 703 777 798 851 874 966 1311 1406 1554 1702 2109 2553 2622 3059 4218 4921 5106 5957 6118 9177 9842 11914 14763 16169 16729 17871 18354 29526 32338 33458 35742 48507 50187 97014 100374 113183 117103 226366 234206 317851 339549 351309 384767 618973 635702 679098 702618 769534 953553 1154301 1237946 1856919 1907106 2224957 2308602 2693369 3713838 4332811 4449914 5386738 6674871 7310573 8080107 8665622 11760487 12998433 13349742 14236379 14621146 16160214 21931719 23520974 25996866 28472758 35281461 42709137 43863438 51174011 70562922 82323409 85418274 99654653 102348022 153522033 164646818 199309306 246970227 270491201 298963959 307044066 493940454 540982402 597927918 811473603 1622947206 1893438407 3786876814 5680315221 11360630442