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289372047048 = 2334763794543
BaseRepresentation
bin1000011010111111110…
…10110000011011001000
31000122220211120002010000
410031133322300123020
514220113221001143
6340534035123000
726622623546640
oct4153772603310
91018824502100
10289372047048
111017a3a81a07
12480ba143460
1321398009556
141001183b520
1577d9610bd3
hex435feb06c8

289372047048 has 80 divisors (see below), whose sum is σ = 926296778880. Its totient is φ = 82677726432.

The previous prime is 289372047011. The next prime is 289372047049. The reversal of 289372047048 is 840740273982.

It is a happy number.

289372047048 is a `hidden beast` number, since 2 + 89 + 37 + 20 + 470 + 48 = 666.

It is a super-2 number, since 2×2893720470482 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 289372046985 and 289372047003.

It is not an unprimeable number, because it can be changed into a prime (289372047049) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31892736 + ... + 31901807.

It is an arithmetic number, because the mean of its divisors is an integer number (11578709736).

Almost surely, 2289372047048 is an apocalyptic number.

289372047048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

289372047048 is an abundant number, since it is smaller than the sum of its proper divisors (636924731832).

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

289372047048 is a wasteful number, since it uses less digits than its factorization.

289372047048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63794568 (or 63794555 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 289372047048 in words is "two hundred eighty-nine billion, three hundred seventy-two million, forty-seven thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 63794543 127589086 191383629 255178172 382767258 446561801 510356344 574150887 765534516 893123602 1148301774 1339685403 1531069032 1722452661 1786247204 2296603548 2679370806 3444905322 3572494408 4019056209 4593207096 5167357983 5358741612 6889810644 8038112418 10334715966 10717483224 12057168627 13779621288 16076224836 20669431932 24114337254 32152449672 36171505881 41338863864 48228674508 72343011762 96457349016 144686023524 289372047048