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723013303213232 = 243143122412769359
BaseRepresentation
bin1010010001100100111010011…
…1000110110001110010110000
310111210222101201020021201220222
42210121032213012301302300
51224231322221110310412
611041415420502552212
7305201662443240563
oct24431164706616260
93453871636251828
10723013303213232
1119a413246822929
12691109a4438668
1325057b288bc6a5
14ca7805dd2c4da
15588c37de10072
hex29193a71b1cb0

723013303213232 has 80 divisors (see below), whose sum is σ = 1479776543477760. Its totient is φ = 341681174553600.

The previous prime is 723013303213177. The next prime is 723013303213291. The reversal of 723013303213232 is 232312303310327.

It is a junction number, because it is equal to n+sod(n) for n = 723013303213192 and 723013303213201.

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 15 ways as a sum of consecutive naturals, for example, 259691369 + ... + 262460727.

It is an arithmetic number, because the mean of its divisors is an integer number (18497206793472).

Almost surely, 2723013303213232 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 723013303213232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739888271738880).

723013303213232 is an abundant number, since it is smaller than the sum of its proper divisors (756763240264528).

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

723013303213232 is a wasteful number, since it uses less digits than its factorization.

723013303213232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781682 (or 2781676 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 35.

Adding to 723013303213232 its reverse (232312303310327), we get a palindrome (955325606523559).

The spelling of 723013303213232 in words is "seven hundred twenty-three trillion, thirteen billion, three hundred three million, two hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 31 43 62 86 124 172 248 344 496 688 1333 2666 5332 10664 12241 21328 24482 48964 97928 195856 379471 526363 758942 1052726 1517884 2105452 2769359 3035768 4210904 5538718 6071536 8421808 11077436 16317253 22154872 32634506 44309744 65269012 85850129 119082437 130538024 171700258 238164874 261076048 343400516 476329748 686801032 952659496 1373602064 1905318992 3691555547 7383111094 14766222188 29532444376 33899723519 59064888752 67799447038 135598894076 271197788152 542395576304 1050891429089 1457688111317 2101782858178 2915376222634 4203565716356 5830752445268 8407131432712 11661504890536 16814262865424 23323009781072 45188331450827 90376662901654 180753325803308 361506651606616 723013303213232