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53632320021344 = 25231732251187123
BaseRepresentation
bin11000011000111001111110…
…11000100010001101100000
321000220012101121002210102202
430030130333120202031200
524012202442411140334
6310022203033232332
714203543613241551
oct1414347730421540
9230805347083382
1053632320021344
11160a83805077a9
1260223775626a8
1323c0676b0a65c
14d35b64d90328
1563017687417e
hex30c73f622360

53632320021344 has 96 divisors (see below), whose sum is σ = 110866137709824. Its totient is φ = 25490507328000.

The previous prime is 53632320021317. The next prime is 53632320021347. The reversal of 53632320021344 is 44312002323635.

It is a junction number, because it is equal to n+sod(n) for n = 53632320021298 and 53632320021307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53632320021347) 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, 286521767 + ... + 286708889.

It is an arithmetic number, because the mean of its divisors is an integer number (1154855601144).

Almost surely, 253632320021344 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 53632320021344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55433068854912).

53632320021344 is an abundant number, since it is smaller than the sum of its proper divisors (57233817688480).

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

53632320021344 is a wasteful number, since it uses less digits than its factorization.

53632320021344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189580 (or 189572 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 38.

Adding to 53632320021344 its reverse (44312002323635), we get a palindrome (97944322344979).

The spelling of 53632320021344 in words is "fifty-three trillion, six hundred thirty-two billion, three hundred twenty million, twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 92 173 184 346 368 692 736 1384 2251 2768 3979 4502 5536 7958 9004 15916 18008 31832 36016 51773 63664 72032 103546 127328 187123 207092 374246 389423 414184 748492 778846 828368 1496984 1557692 1656736 2993968 3115384 4303829 5987936 6230768 8607658 8956729 12461536 17215316 17913458 32372279 34430632 35826916 64744558 68861264 71653832 129489116 137722528 143307664 258978232 286615328 421213873 517956464 744562417 842427746 1035912928 1489124834 1684855492 2978249668 3369710984 5956499336 6739421968 9687919079 11912998672 13478843936 19375838158 23825997344 38751676316 72870000029 77503352632 145740000058 155006705264 291480000116 310013410528 582960000232 1165920000464 1676010000667 2331840000928 3352020001334 6704040002668 13408080005336 26816160010672 53632320021344