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10990559142 = 233291072613
BaseRepresentation
bin10100011110001011…
…01001111110100110
31001100221200020211000
422033011221332212
5140002040343032
65014325454130
7536233132323
oct121705517646
931327606730
1010990559142
11472a97a832
122168871346
131061ca0444
14763933b4a
15444d26e7c
hex28f169fa6

10990559142 has 96 divisors (see below), whose sum is σ = 25545592800. Its totient is φ = 3498417216.

The previous prime is 10990559141. The next prime is 10990559197. The reversal of 10990559142 is 24195509901.

10990559142 is a `hidden beast` number, since 1 + 0 + 9 + 90 + 559 + 1 + 4 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10990559141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17928828 + ... + 17929440.

It is an arithmetic number, because the mean of its divisors is an integer number (266099925).

Almost surely, 210990559142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10990559142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12772796400).

10990559142 is an abundant number, since it is smaller than the sum of its proper divisors (14555033658).

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

10990559142 is a wasteful number, since it uses less digits than its factorization.

10990559142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The spelling of 10990559142 in words is "ten billion, nine hundred ninety million, five hundred fifty-nine thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 107 174 214 261 321 522 613 642 783 963 1226 1566 1839 1926 2889 3103 3678 5517 5778 6206 9309 11034 11449 16551 17777 18618 22898 27927 33102 34347 35554 53331 55854 65591 68694 83781 103041 106662 131182 159993 167562 196773 206082 309123 319986 332021 393546 479979 590319 618246 664042 959958 996063 1180638 1770957 1902139 1992126 2988189 3541914 3804278 5706417 5976378 7018237 8964567 11412834 14036474 17119251 17929134 21054711 34238502 42109422 51357753 63164133 102715506 126328266 189492399 203528873 378984798 407057746 610586619 1221173238 1831759857 3663519714 5495279571 10990559142