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146328137319 = 37134113073183
BaseRepresentation
bin1000100001000111010…
…1100010111001100111
3111222200212012120012110
42020101311202321213
54344140000343234
6151115555452103
713400101434150
oct2102165427147
9458625176173
10146328137319
115706a4673a1
1224438bb7033
1310a4c92aa50
147121c56927
153c165751e9
hex2211d62e67

146328137319 has 32 divisors (see below), whose sum is σ = 245985030144. Its totient is φ = 75301528320.

The previous prime is 146328137287. The next prime is 146328137323. The reversal of 146328137319 is 913731823641.

It is a happy number.

It is not a de Polignac number, because 146328137319 - 25 = 146328137287 is a prime.

It is a super-2 number, since 2×1463281373192 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146328136319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6525399 + ... + 6547784.

It is an arithmetic number, because the mean of its divisors is an integer number (7687032192).

Almost surely, 2146328137319 is an apocalyptic number.

146328137319 is a deficient number, since it is larger than the sum of its proper divisors (99656892825).

146328137319 is a wasteful number, since it uses less digits than its factorization.

146328137319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13073247.

The product of its digits is 653184, while the sum is 48.

The spelling of 146328137319 in words is "one hundred forty-six billion, three hundred twenty-eight million, one hundred thirty-seven thousand, three hundred nineteen".

Divisors: 1 3 7 13 21 39 41 91 123 273 287 533 861 1599 3731 11193 13073183 39219549 91512281 169951379 274536843 509854137 536000503 1189659653 1608001509 3568978959 3752003521 6968006539 11256010563 20904019617 48776045773 146328137319