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243348496992 = 2535104929833
BaseRepresentation
bin1110001010100010110…
…0110110001001100000
3212021010101010111100000
43202220230312021200
512441334203400432
6303443122500000
723403255044466
oct3425054661140
9767111114300
10243348496992
1194226978627
123b1b4b04600
1319c42033cb3
14bac7290836
1564e3ddd57c
hex38a8b36260

243348496992 has 144 divisors (see below), whose sum is σ = 718360952400. Its totient is φ = 81036122112.

The previous prime is 243348496991. The next prime is 243348496997. The reversal of 243348496992 is 299694843342.

243348496992 is a `hidden beast` number, since 2 + 4 + 3 + 3 + 484 + 9 + 69 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243348496991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8142108 + ... + 8171940.

It is an arithmetic number, because the mean of its divisors is an integer number (4988617725).

Almost surely, 2243348496992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243348496992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359180476200).

243348496992 is an abundant number, since it is smaller than the sum of its proper divisors (475012455408).

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

243348496992 is a wasteful number, since it uses less digits than its factorization.

243348496992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30907 (or 30887 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 63.

The spelling of 243348496992 in words is "two hundred forty-three billion, three hundred forty-eight million, four hundred ninety-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1049 1296 1944 2098 2592 3147 3888 4196 6294 7776 8392 9441 12588 16784 18882 25176 28323 29833 33568 37764 50352 56646 59666 75528 84969 89499 100704 113292 119332 151056 169938 178998 226584 238664 254907 268497 302112 339876 357996 453168 477328 509814 536994 679752 715992 805491 906336 954656 1019628 1073988 1359504 1431984 1610982 2039256 2147976 2416473 2719008 2863968 3221964 4078512 4295952 4832946 6443928 7249419 8157024 8591904 9665892 12887856 14498838 19331784 25775712 28997676 31294817 38663568 57995352 62589634 77327136 93884451 115990704 125179268 187768902 231981408 250358536 281653353 375537804 500717072 563306706 751075608 844960059 1001434144 1126613412 1502151216 1689920118 2253226824 2534880177 3004302432 3379840236 4506453648 5069760354 6759680472 7604640531 9012907296 10139520708 13519360944 15209281062 20279041416 27038721888 30418562124 40558082832 60837124248 81116165664 121674248496 243348496992