Search a number
-
+
1326322236232 = 237233977693373
BaseRepresentation
bin10011010011001110111…
…101110011101101001000
311200210110200021121011101
4103103032331303231020
5133212301443024412
62453145400311144
7164552333665030
oct23231675635510
94623420247141
101326322236232
11471543363934
121950727724b4
13980c1552b56
14482a13a08c0
1524779c2b457
hex134cef73b48

1326322236232 has 128 divisors (see below), whose sum is σ = 2977908595200. Its totient is φ = 541474357248.

The previous prime is 1326322236199. The next prime is 1326322236251. The reversal of 1326322236232 is 2326322236231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1326322236191 and 1326322236200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393215698 + ... + 393219070.

It is an arithmetic number, because the mean of its divisors is an integer number (23264910900).

Almost surely, 21326322236232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1326322236232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488954297600).

1326322236232 is an abundant number, since it is smaller than the sum of its proper divisors (1651586358968).

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

1326322236232 is a wasteful number, since it uses less digits than its factorization.

1326322236232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4575 (or 4571 counting only the distinct ones).

The product of its digits is 186624, while the sum is 37.

Subtracting 1326322236232 from its reverse (2326322236231), we obtain a palindrome (999999999999).

The spelling of 1326322236232 in words is "one trillion, three hundred twenty-six billion, three hundred twenty-two million, two hundred thirty-six thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 397 644 769 794 1288 1538 1588 2779 3076 3176 3373 5383 5558 6152 6746 9131 10766 11116 13492 17687 18262 21532 22232 23611 26984 35374 36524 43064 47222 63917 70748 73048 77579 94444 123809 127834 141496 155158 188888 247618 255668 305293 310316 495236 511336 543053 610586 620632 990472 1086106 1221172 1339081 2137051 2172212 2442344 2593837 2678162 4274102 4344424 5187674 5356324 7021739 8548204 9373567 10375348 10712648 14043478 17096408 18156859 18747134 20750696 28086956 30798863 36313718 37494268 49152173 56173912 59658251 61597726 72627436 74988536 98304346 119316502 123195452 145254872 196608692 215592041 238633004 246390904 393217384 417607757 431184082 477266008 835215514 862368164 1029753289 1670431028 1724736328 2059506578 3340862056 4119013156 7208273023 8238026312 14416546046 23684325647 28833092092 47368651294 57666184184 94737302588 165790279529 189474605176 331580559058 663161118116 1326322236232