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132743200466461 = 1318160193867637
BaseRepresentation
bin11110001011101010101111…
…010011110110011000011101
3122102000010101212122121121011
4132023222233103312120131
5114344331033304411321
61150153215012135221
736650244153016054
oct3613525723663035
9572003355577534
10132743200466461
1139329091067552
1212a7a631307511
13590b82640b980
1424acb3b5cb39b
151052e4e0a6ae1
hex78baaf4f661d

132743200466461 has 16 divisors (see below), whose sum is σ = 143983194457648. Its totient is φ = 121652456256000.

The previous prime is 132743200466453. The next prime is 132743200466473. The reversal of 132743200466461 is 164664002347231.

It can be written as a sum of positive squares in 8 ways, for example, as 16871022279225 + 115872178187236 = 4107435^2 + 10764394^2 .

It is a cyclic number.

It is not a de Polignac number, because 132743200466461 - 23 = 132743200466453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132743200469461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45519666 + ... + 48347971.

It is an arithmetic number, because the mean of its divisors is an integer number (8998949653603).

Almost surely, 2132743200466461 is an apocalyptic number.

It is an amenable number.

132743200466461 is a deficient number, since it is larger than the sum of its proper divisors (11239993991187).

132743200466461 is a wasteful number, since it uses less digits than its factorization.

132743200466461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93868432.

The product of its (nonzero) digits is 3483648, while the sum is 49.

The spelling of 132743200466461 in words is "one hundred thirty-two trillion, seven hundred forty-three billion, two hundred million, four hundred sixty-six thousand, four hundred sixty-one".

Divisors: 1 13 181 601 2353 7813 108781 1414153 93867637 1220279281 16990042297 56414449837 220870549861 733387847881 10211015420497 132743200466461