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542575271412 = 2232172813155021
BaseRepresentation
bin1111110010101000000…
…00011001110111110100
31220212111000002120222200
413321110000121313310
532342143232141122
61053131115024500
754125343466146
oct7712400316764
91825430076880
10542575271412
1119a117661019
12891a343b130
133c21a8c5775
141c391836c96
15e1a87635ac
hex7e54019df4

542575271412 has 72 divisors (see below), whose sum is σ = 1457355142152. Its totient is φ = 169613875200.

The previous prime is 542575271411. The next prime is 542575271431. The reversal of 542575271412 is 214172575245.

It is a happy number.

542575271412 is a `hidden beast` number, since 5 + 4 + 2 + 575 + 2 + 71 + 4 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 72014942736 + 470560328676 = 268356^2 + 685974^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542575271411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1405539 + ... + 1749482.

It is an arithmetic number, because the mean of its divisors is an integer number (20241043641).

Almost surely, 2542575271412 is an apocalyptic number.

It is an amenable number.

542575271412 is an abundant number, since it is smaller than the sum of its proper divisors (914779870740).

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

542575271412 is a wasteful number, since it uses less digits than its factorization.

542575271412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3155329 (or 3155324 counting only the distinct ones).

The product of its digits is 784000, while the sum is 45.

The spelling of 542575271412 in words is "five hundred forty-two billion, five hundred seventy-five million, two hundred seventy-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 281 306 562 612 843 1124 1686 2529 3372 4777 5058 9554 10116 14331 19108 28662 42993 57324 85986 171972 3155021 6310042 9465063 12620084 18930126 28395189 37860252 53635357 56790378 107270714 113580756 160906071 214541428 321812142 482718213 643624284 886560901 965436426 1773121802 1930872852 2659682703 3546243604 5319365406 7979048109 10638730812 15071535317 15958096218 30143070634 31916192436 45214605951 60286141268 90429211902 135643817853 180858423804 271287635706 542575271412