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6146242316201 = 13270015194729
BaseRepresentation
bin101100101110000100010…
…0101110000011110101001
3210202120112012020221122202
41121130020211300132221
51301200001013104301
621023313355225545
71203023420456111
oct131341045603651
923676465227582
106146242316201
111a5a6746120a9
128332241482b5
1335778526ca00
141736a04a6041
15a9d27c0966b
hex597089707a9

6146242316201 has 12 divisors (see below), whose sum is σ = 6656350401180. Its totient is φ = 5672642976000.

The previous prime is 6146242316183. The next prime is 6146242316231. The reversal of 6146242316201 is 1026132426416.

It can be written as a sum of positive squares in 6 ways, for example, as 39912048400 + 6106330267801 = 199780^2 + 2471099^2 .

It is not a de Polignac number, because 6146242316201 - 238 = 5871364409257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6146242316231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1414196 + ... + 3780533.

It is an arithmetic number, because the mean of its divisors is an integer number (554695866765).

Almost surely, 26146242316201 is an apocalyptic number.

It is an amenable number.

6146242316201 is a deficient number, since it is larger than the sum of its proper divisors (510108084979).

6146242316201 is a wasteful number, since it uses less digits than its factorization.

6146242316201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5201756 (or 5201743 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 6146242316201 in words is "six trillion, one hundred forty-six billion, two hundred forty-two million, three hundred sixteen thousand, two hundred one".

Divisors: 1 13 169 7001 91013 1183169 5194729 67531477 877909201 36368297729 472787870477 6146242316201