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11289013125258 = 2311316418607803
BaseRepresentation
bin1010010001000110110110…
…0111100000000010001010
31110222012220201211122021210
42210101231213200002022
52434424344330002013
640002033453513550
72243414161210131
oct244215547400212
943865821748253
1011289013125258
113662709672640
121323a777a28b6
1363b71ac7253b
142b0569462918
151489be51ccc3
hexa446d9e008a

11289013125258 has 64 divisors (see below), whose sum is σ = 25464776454144. Its totient is φ = 3305395968000.

The previous prime is 11289013125211. The next prime is 11289013125287. The reversal of 11289013125258 is 85252131098211.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2992416 + ... + 5615387.

It is an arithmetic number, because the mean of its divisors is an integer number (397887132096).

Almost surely, 211289013125258 is an apocalyptic number.

11289013125258 is an abundant number, since it is smaller than the sum of its proper divisors (14175763328886).

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

11289013125258 is a wasteful number, since it uses less digits than its factorization.

11289013125258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8608491.

The product of its (nonzero) digits is 345600, while the sum is 48.

The spelling of 11289013125258 in words is "eleven trillion, two hundred eighty-nine billion, thirteen million, one hundred twenty-five thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 641 682 1023 1282 1923 2046 3846 7051 14102 19871 21153 39742 42306 59613 119226 218581 437162 655743 1311486 8607803 17215606 25823409 51646818 94685833 189371666 266841893 284057499 533683786 568114998 800525679 1601051358 2935260823 5517601723 5870521646 8805782469 11035203446 16552805169 17611564938 33105610338 60693618953 121387237906 171045653413 182080856859 342091306826 364161713718 513136960239 1026273920478 1881502187543 3763004375086 5644506562629 11289013125258