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5341264146 = 2334773127227
BaseRepresentation
bin1001111100101110…
…10011100100010010
3111210020112022222000
410332113103210102
541414330423041
62242001454430
7246234665451
oct47627234422
914706468860
105341264146
1122a1005899
121050941416
1367177673a
14389536b98
15213db6bb6
hex13e5d3912

5341264146 has 128 divisors (see below), whose sum is σ = 12439388160. Its totient is φ = 1697625216.

The previous prime is 5341264141. The next prime is 5341264151. The reversal of 5341264146 is 6414621435.

5341264146 is a `hidden beast` number, since 5 + 3 + 4 + 1 + 2 + 641 + 4 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5341264141) and next prime (5341264151).

It is a self number, because there is not a number n which added to its sum of digits gives 5341264146.

It is not an unprimeable number, because it can be changed into a prime (5341264141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23529685 + ... + 23529911.

It is an arithmetic number, because the mean of its divisors is an integer number (97182720).

Almost surely, 25341264146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5341264146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6219694080).

5341264146 is an abundant number, since it is smaller than the sum of its proper divisors (7098124014).

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

5341264146 is a wasteful number, since it uses less digits than its factorization.

5341264146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 479 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 5341264146 is about 73083.9527256155. The cubic root of 5341264146 is about 1748.0265259359.

The spelling of 5341264146 in words is "five billion, three hundred forty-one million, two hundred sixty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 47 54 73 94 127 141 146 219 227 254 282 381 423 438 454 657 681 762 846 1143 1269 1314 1362 1971 2043 2286 2538 3429 3431 3942 4086 5969 6129 6858 6862 9271 10293 10669 11938 12258 16571 17907 18542 20586 21338 27813 28829 30879 32007 33142 35814 49713 53721 55626 57658 61758 64014 83439 86487 92637 96021 99426 107442 149139 161163 166878 172974 185274 192042 250317 259461 288063 298278 322326 435737 447417 500634 518922 576126 778383 778837 871474 894834 1307211 1354963 1556766 1557674 2104517 2336511 2614422 2709926 3921633 4064889 4209034 4673022 6313551 7009533 7843266 8129778 11764899 12194667 12627102 14019066 18940653 21028599 23529798 24389334 36584001 37881306 42057198 56821959 73168002 98912299 113643918 197824598 296736897 593473794 890210691 1780421382 2670632073 5341264146