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243021088680 = 233553317120539
BaseRepresentation
bin1110001001010100101…
…1111000011110101000
3212020021120001102120020
43202111023320132220
512440201344314210
6303350425200440
723362201112346
oct3422513703650
9766246042506
10243021088680
1194079083947
123b123330120
1319bbc25aa76
14ba959c4996
1564c52b8770
hex38952f87a8

243021088680 has 128 divisors (see below), whose sum is σ = 745168636800. Its totient is φ = 63381773312.

The previous prime is 243021088679. The next prime is 243021088781. The reversal of 243021088680 is 86880120342.

It is a happy number.

243021088680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1955851 + ... + 2076389.

It is an arithmetic number, because the mean of its divisors is an integer number (5821629975).

Almost surely, 2243021088680 is an apocalyptic number.

243021088680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243021088680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372584318400).

243021088680 is an abundant number, since it is smaller than the sum of its proper divisors (502147548120).

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

243021088680 is a wasteful number, since it uses less digits than its factorization.

243021088680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120923 (or 120919 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

It can be divided in two parts, 2430210 and 88680, that added together give a triangular number (2518890 = T2244).

The spelling of 243021088680 in words is "two hundred forty-three billion, twenty-one million, eighty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 317 318 424 530 634 636 795 951 1060 1268 1272 1585 1590 1902 2120 2536 3170 3180 3804 4755 6340 6360 7608 9510 12680 16801 19020 33602 38040 50403 67204 84005 100806 120539 134408 168010 201612 241078 252015 336020 361617 403224 482156 504030 602695 672040 723234 964312 1008060 1205390 1446468 1808085 2016120 2410780 2892936 3616170 4821560 6388567 7232340 12777134 14464680 19165701 25554268 31942835 38210863 38331402 51108536 63885670 76421726 76662804 95828505 114632589 127771340 152843452 153325608 191054315 191657010 229265178 255542680 305686904 382108630 383314020 458530356 573162945 764217260 766628040 917060712 1146325890 1528434520 2025175739 2292651780 4050351478 4585303560 6075527217 8100702956 10125878695 12151054434 16201405912 20251757390 24302108868 30377636085 40503514780 48604217736 60755272170 81007029560 121510544340 243021088680