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243727327064 = 2313171919137987
BaseRepresentation
bin1110001011111101000…
…1111101111101011000
3212022002202222001111102
43202333101331331120
512443123143431224
6303544454250532
723415535045364
oct3427721757530
9768082861442
10243727327064
11944007a4231
123b29b956a48
1319ca26727c0
14bb217042a4
1565172be4ae
hex38bf47df58

243727327064 has 128 divisors (see below), whose sum is σ = 551403417600. Its totient is φ = 99772508160.

The previous prime is 243727327037. The next prime is 243727327069. The reversal of 243727327064 is 460723727342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243727327069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6397079 + ... + 6435065.

It is an arithmetic number, because the mean of its divisors is an integer number (4307839200).

Almost surely, 2243727327064 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 243727327064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275701708800).

243727327064 is an abundant number, since it is smaller than the sum of its proper divisors (307676090536).

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

243727327064 is a wasteful number, since it uses less digits than its factorization.

243727327064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38233 (or 38229 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 47.

The spelling of 243727327064 in words is "two hundred forty-three billion, seven hundred twenty-seven million, three hundred twenty-seven thousand, sixty-four".

Divisors: 1 2 4 8 13 17 19 26 34 38 52 68 76 104 136 152 191 221 247 323 382 442 494 646 764 884 988 1292 1528 1768 1976 2483 2584 3247 3629 4199 4966 6494 7258 8398 9932 12988 14516 16796 19864 25976 29032 33592 37987 42211 47177 61693 75974 84422 94354 123386 151948 168844 188708 246772 303896 337688 377416 493544 493831 645779 721753 802009 987662 1291558 1443506 1604018 1975324 2583116 2887012 3208036 3950648 5166232 5774024 6416072 7255517 8395127 9382789 12269801 14511034 16790254 18765578 24539602 29022068 33580508 37531156 49079204 58044136 67161016 75062312 94321721 98158408 123343789 137854823 159507413 188643442 246687578 275709646 319014826 377286884 493375156 551419292 638029652 754573768 986750312 1102838584 1276059304 1603469257 1792112699 2343531991 3206938514 3584225398 4687063982 6413877028 7168450796 9374127964 12827754056 14336901592 18748255928 30465915883 60931831766 121863663532 243727327064