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5212416966121 = 171926129347521
BaseRepresentation
bin100101111011001110001…
…0000101111110111101001
3200110022011022010001020201
41023312130100233313221
51140400012220403441
615030315025152201
71045404360116431
oct113663420576751
920408138101221
105212416966121
11172a634543132
1270224ba8b661
132ba6b4a49a71
141403d49c52c1
15908c0d2bc31
hex4bd9c42fde9

5212416966121 has 48 divisors (see below), whose sum is σ = 5940612307728. Its totient is φ = 4555715788800.

The previous prime is 5212416966101. The next prime is 5212416966139. The reversal of 5212416966121 is 1216696142125.

It can be written as a sum of positive squares in 8 ways, for example, as 606397051225 + 4606019914896 = 778715^2 + 2146164^2 .

It is not a de Polignac number, because 5212416966121 - 225 = 5212383411689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5212416966101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109662841 + ... + 109710361.

It is an arithmetic number, because the mean of its divisors is an integer number (123762756411).

Almost surely, 25212416966121 is an apocalyptic number.

It is an amenable number.

5212416966121 is a deficient number, since it is larger than the sum of its proper divisors (728195341607).

5212416966121 is a wasteful number, since it uses less digits than its factorization.

5212416966121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47930 (or 47911 counting only the distinct ones).

The product of its digits is 311040, while the sum is 46.

The spelling of 5212416966121 in words is "five trillion, two hundred twelve billion, four hundred sixteen million, nine hundred sixty-six thousand, one hundred twenty-one".

Divisors: 1 17 19 61 293 323 361 1037 1159 4981 5567 6137 17873 19703 22021 47521 94639 105773 303841 339587 374357 807857 902899 1798141 2898781 5772979 6452153 13923653 15349283 17155081 49279277 55076839 109686601 236702101 264549407 291636377 849342833 936306263 1046459941 4497339919 5026438733 14438828161 16137513827 17789818997 85449458461 274337735059 306612762713 5212416966121