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146591972293 = 13173229284633
BaseRepresentation
bin1000100010000110001…
…1111111101111000101
3112000101020122202202011
42020201203333233011
54400210021103133
6151202102414221
713406454130264
oct2104143775705
9460336582664
10146591972293
115719538a528
12244b1431371
1310a924a5710
147148cd45db
153c2e7dd6cd
hex22218ffbc5

146591972293 has 16 divisors (see below), whose sum is σ = 159474737520. Its totient is φ = 133945542144.

The previous prime is 146591972291. The next prime is 146591972309. The reversal of 146591972293 is 392279195641.

It can be written as a sum of positive squares in 8 ways, for example, as 20891233444 + 125700738849 = 144538^2 + 354543^2 .

It is a cyclic number.

It is not a de Polignac number, because 146591972293 - 21 = 146591972291 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146591972291) 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, 372705 + ... + 657337.

It is an arithmetic number, because the mean of its divisors is an integer number (9967171095).

Almost surely, 2146591972293 is an apocalyptic number.

146591972293 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

146591972293 is a deficient number, since it is larger than the sum of its proper divisors (12882765227).

146591972293 is a wasteful number, since it uses less digits than its factorization.

146591972293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285048.

The product of its digits is 7348320, while the sum is 58.

The spelling of 146591972293 in words is "one hundred forty-six billion, five hundred ninety-one million, nine hundred seventy-two thousand, two hundred ninety-three".

Divisors: 1 13 173 229 2249 2977 39617 284633 515021 3700229 49241509 65180957 640139617 847352441 11276305561 146591972293