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20344546342332 = 22324014577194289
BaseRepresentation
bin1001010000000110101010…
…11101010011010110111100
32200000220211102012012010200
410220003111131103112330
510131311112330423312
6111134053334003500
74166562552430362
oct450032535232674
980026742165120
1020344546342332
11653408a035693
122346aab4a6590
13b47637045c94
1450497769b632
1525431d2210dc
hex1280d57535bc

20344546342332 has 144 divisors (see below), whose sum is σ = 51751472572800. Its totient is φ = 6738842419200.

The previous prime is 20344546342331. The next prime is 20344546342357. The reversal of 20344546342332 is 23324364544302.

20344546342332 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 4 + 5 + 4 + 634 + 2 + 3 + 3 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20344546342331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4743422044 + ... + 4743426332.

It is an arithmetic number, because the mean of its divisors is an integer number (359385226200).

Almost surely, 220344546342332 is an apocalyptic number.

It is an amenable number.

20344546342332 is an abundant number, since it is smaller than the sum of its proper divisors (31406926230468).

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

20344546342332 is a wasteful number, since it uses less digits than its factorization.

20344546342332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5876 (or 5871 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 45.

The spelling of 20344546342332 in words is "twenty trillion, three hundred forty-four billion, five hundred forty-six million, three hundred forty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 401 457 719 802 914 1203 1371 1438 1604 1828 2157 2406 2742 2876 3609 4113 4289 4314 4812 5484 6471 7218 8226 8578 8628 12867 12942 14436 16452 17156 25734 25884 38601 51468 77202 154404 183257 288319 328583 366514 549771 576638 657166 733028 864957 985749 1099542 1153276 1314332 1649313 1719889 1729914 1960073 1971498 2199084 2594871 2957247 3083791 3298626 3439778 3459828 3920146 3942996 5159667 5189742 5880219 5914494 6167582 6597252 6879556 7840292 9251373 10319334 10379484 11760438 11828988 12335164 15479001 17640657 18502746 20638668 23520876 27754119 30958002 35281314 37005492 55508238 61916004 70562628 111016476 131761783 263523566 395285349 527047132 785989273 790570698 1185856047 1236600191 1409292487 1571978546 1581141396 2357967819 2371712094 2473200382 2818584974 3143957092 3709800573 4227877461 4715935638 4743424188 4946400764 5637169948 7073903457 7419601146 8455754922 9431871276 11129401719 12683632383 14147806914 14839202292 16911509844 22258803438 25367264766 28295613828 44517606876 50734529532 565126287287 1130252574574 1695378861861 2260505149148 3390757723722 5086136585583 6781515447444 10172273171166 20344546342332