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289013532054912 = 2732735839971733
BaseRepresentation
bin100000110110110110011010…
…0111010011101010110000000
31101220022102102222020112010200
41001231230310322131112000
5300340144203201224122
62502402552251325200
7114606352514662530
oct10155546472352600
91356272388215120
10289013532054912
11840a7a50306775
12284b8913150800
13c535b2267bc62
1451524885674c0
152362d8a1a25ac
hex106db34e9d580

289013532054912 has 96 divisors (see below), whose sum is σ = 950476050385680. Its totient is φ = 82575294870528.

The previous prime is 289013532054901. The next prime is 289013532054913. The reversal of 289013532054912 is 219450235310982.

289013532054912 is a `hidden beast` number, since 2 + 8 + 9 + 0 + 13 + 53 + 20 + 549 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2890135320549122 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289013532054913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17919977803 + ... + 17919993930.

Almost surely, 2289013532054912 is an apocalyptic number.

It is an amenable number.

289013532054912 is an abundant number, since it is smaller than the sum of its proper divisors (661462518330768).

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

289013532054912 is a wasteful number, since it uses less digits than its factorization.

289013532054912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35839971760 (or 35839971745 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 289013532054912 in words is "two hundred eighty-nine trillion, thirteen billion, five hundred thirty-two million, fifty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 35839971733 71679943466 107519915199 143359886932 215039830398 250879802131 286719773864 322559745597 430079660796 501759604262 573439547728 645119491194 752639406393 860159321592 1003519208524 1146879095456 1290238982388 1505278812786 1720318643184 2007038417048 2257918219179 2293758190912 2580477964776 3010557625572 3440637286368 4014076834096 4515836438358 4587516381824 5160955929552 6021115251144 6881274572736 8028153668192 9031672876716 10321911859104 12042230502288 13762549145472 16056307336384 18063345753432 20643823718208 24084461004576 32112614672768 36126691506864 41287647436416 48168922009152 72253383013728 96337844018304 144506766027456 289013532054912