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5021278754041 = 1121722325212
BaseRepresentation
bin100100100010001101110…
…0010010101010011111001
3122210000210112211211102201
41021010123202111103321
51124232034330112131
614402424342030201
71025526653121004
oct111043342252371
918700715754381
105021278754041
11166656aa52400
126911a8118361
132a56736785a4
1413506181c53b
158a935882761
hex4911b8954f9

5021278754041 has 81 divisors (see below), whose sum is σ = 6140800252909. Its totient is φ = 4101598758400.

The previous prime is 5021278754029. The next prime is 5021278754057. The reversal of 5021278754041 is 1404578721205.

The square root of 5021278754041 is 2240821.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 28306380025 + 4992972374016 = 168245^2 + 2234496^2 .

It is not a de Polignac number, because 5021278754041 - 221 = 5021276656889 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5021278753982 and 5021278754000.

It is not an unprimeable number, because it can be changed into a prime (5021278754441) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9637770861 + ... + 9637771381.

Almost surely, 25021278754041 is an apocalyptic number.

5021278754041 is the 2240821-st square number.

5021278754041 is the 1120411-st centered octagonal number.

It is an amenable number.

5021278754041 is a deficient number, since it is larger than the sum of its proper divisors (1119521498868).

5021278754041 is an equidigital number, since it uses as much as digits as its factorization.

5021278754041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 46.

The spelling of 5021278754041 in words is "five trillion, twenty-one billion, two hundred seventy-eight million, seven hundred fifty-four thousand, forty-one".

Divisors: 1 11 17 23 121 187 253 289 391 521 529 2057 2783 3179 4301 5731 5819 6647 8857 8993 11983 34969 47311 63041 64009 73117 97427 98923 131813 150569 152881 203711 271441 275609 804287 1071697 1088153 1449943 1656259 1681691 2240821 2985851 3031699 3463087 4614497 4685353 6243143 18218849 18498601 24649031 32844361 33348689 38093957 50759467 51538883 68674573 78446449 79651001 106133431 143592289 419033527 558354137 566927713 755420303 862910939 876161011 1167467741 1579515179 1804268327 2441068913 9492020329 9637771121 12842145151 17374666969 19846951597 26851758043 41498171521 218316467567 295369338473 456479886731 5021278754041