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66342725798048 = 2572973217135589
BaseRepresentation
bin11110001010110100111101…
…00110101100100010100000
322200220022011121222112002022
433011122132212230202200
532143424400301014143
6353033232200441012
716655050406604200
oct1705323646544240
9280808147875068
1066342725798048
111a158879186257
1275357b8779168
132b0312773939b
14125500dc62400
157a0ad7160268
hex3c569e9ac8a0

66342725798048 has 144 divisors (see below), whose sum is σ = 153551895293160. Its totient is φ = 28130522628096.

The previous prime is 66342725797987. The next prime is 66342725798093. The reversal of 66342725798048 is 84089752724366.

It can be written as a sum of positive squares in 4 ways, for example, as 65290730951824 + 1051994846224 = 8080268^2 + 1025668^2 .

It is a super-2 number, since 2×663427257980482 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489225038 + ... + 489360626.

Almost surely, 266342725798048 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 66342725798048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76775947646580).

66342725798048 is an abundant number, since it is smaller than the sum of its proper divisors (87209169495112).

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

66342725798048 is a wasteful number, since it uses less digits than its factorization.

66342725798048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138927 (or 138912 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 71.

The spelling of 66342725798048 in words is "sixty-six trillion, three hundred forty-two billion, seven hundred twenty-five million, seven hundred ninety-eight thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 97 98 112 194 196 224 388 392 679 776 784 1358 1552 1568 2716 3104 3217 4753 5432 6434 9506 10864 12868 19012 21728 22519 25736 38024 45038 51472 76048 90076 102944 135589 152096 157633 180152 271178 312049 315266 360304 542356 624098 630532 720608 949123 1084712 1248196 1261064 1898246 2169424 2184343 2496392 2522128 3796492 4338848 4368686 4992784 5044256 6643861 7592984 8737372 9985568 13152133 13287722 15185968 15290401 17474744 26304266 26575444 30371936 30580802 34949488 52608532 53150888 61161604 69898976 92064931 105217064 106301776 122323208 184129862 210434128 212603552 244646416 368259724 420868256 436189813 489292832 644454517 736519448 872379626 1288909034 1473038896 1744759252 2577818068 2946077792 3053328691 3489518504 5155636136 6106657382 6979037008 10311272272 12213314764 13958074016 20622544544 21373300837 24426629528 42310411861 42746601674 48853259056 84620823722 85493203348 97706518112 169241647444 170986406696 296172883027 338483294888 341972813392 592345766054 676966589776 683945626784 1184691532108 1353933179552 2073210181189 2369383064216 4146420362378 4738766128432 8292840724756 9477532256864 16585681449512 33171362899024 66342725798048