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243228015648 = 253632292
BaseRepresentation
bin1110001010000110000…
…1001111110000100000
3212020210222102102000000
43202201201033300200
512441112333000043
6303423140300000
723400263010102
oct3424141176040
9766728372000
10243228015648
1194174968172
123b1806a1600
1319c2309bc67
14bab528b572
1564d85402d3
hex38a184fc20

243228015648 has 126 divisors (see below), whose sum is σ = 718176715389. Its totient is φ = 81050896512.

The previous prime is 243228015647. The next prime is 243228015649. The reversal of 243228015648 is 846510822342.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

243228015648 is a `hidden beast` number, since 2 + 4 + 3 + 2 + 2 + 80 + 1 + 564 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (243228015647) and next prime (243228015649).

It can be written as a sum of positive squares in 2 ways, for example, as 233161505424 + 10066510224 = 482868^2 + 100332^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=348732.

It is a super-3 number, since 3×2432280156483 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (243228015643) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 75324498 + ... + 75327726.

Almost surely, 2243228015648 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 243228015648

243228015648 is an abundant number, since it is smaller than the sum of its proper divisors (474948699741).

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

243228015648 is an frugal number, since it uses more digits than its factorization.

243228015648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6486 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 243228015648 in words is "two hundred forty-three billion, two hundred twenty-eight million, fifteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3229 3888 5832 6458 7776 9687 11664 12916 19374 23328 25832 29061 38748 51664 58122 77496 87183 103328 116244 154992 174366 232488 261549 309984 348732 464976 523098 697464 784647 929952 1046196 1394928 1569294 2092392 2353941 2789856 3138588 4184784 4707882 6277176 8369568 9415764 10426441 12554352 18831528 20852882 25108704 31279323 37663056 41705764 62558646 75326112 83411528 93837969 125117292 166823056 187675938 250234584 281513907 333646112 375351876 500469168 563027814 750703752 844541721 1000938336 1126055628 1501407504 1689083442 2252111256 2533625163 3002815008 3378166884 4504222512 5067250326 6756333768 7600875489 9008445024 10134500652 13512667536 15201750978 20269001304 27025335072 30403501956 40538002608 60807003912 81076005216 121614007824 243228015648