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5645921907072 = 273131179627017
BaseRepresentation
bin101001000101000101100…
…1010110111000110000000
3201222202010000010202201110
41102022023022313012000
51220000322002011242
620001411204403320
71121622131245146
oct122121312670600
921882100122643
105645921907072
111887470800577
127722739a6540
1331c53c929745
1415739a8b9596
159bce3dd539c
hex5228b2b7180

5645921907072 has 128 divisors (see below), whose sum is σ = 15195906633600. Its totient is φ = 1857171230720.

The previous prime is 5645921907071. The next prime is 5645921907097. The reversal of 5645921907072 is 2707091295465.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×56459219070722 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5645921907071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8690908 + ... + 9317924.

It is an arithmetic number, because the mean of its divisors is an integer number (118718020575).

Almost surely, 25645921907072 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 5645921907072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7597953316800).

5645921907072 is an abundant number, since it is smaller than the sum of its proper divisors (9549984726528).

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

5645921907072 is a wasteful number, since it uses less digits than its factorization.

5645921907072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627344 (or 627332 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 57.

The spelling of 5645921907072 in words is "five trillion, six hundred forty-five billion, nine hundred twenty-one million, nine hundred seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 179 192 262 358 384 393 524 537 716 786 1048 1074 1432 1572 2096 2148 2864 3144 4192 4296 5728 6288 8384 8592 11456 12576 16768 17184 22912 23449 25152 34368 46898 50304 68736 70347 93796 140694 187592 281388 375184 562776 627017 750368 1125552 1254034 1500736 1881051 2251104 2508068 3001472 3762102 4502208 5016136 7524204 9004416 10032272 15048408 20064544 30096816 40129088 60193632 80258176 82139227 112236043 120387264 164278454 224472086 240774528 246417681 328556908 336708129 448944172 492835362 657113816 673416258 897888344 985670724 1314227632 1346832516 1795776688 1971341448 2628455264 2693665032 3591553376 3942682896 5256910528 5387330064 7183106752 7885365792 10513821056 10774660128 14366213504 14702921633 15770731584 21549320256 29405843266 31541463168 43098640512 44108764899 58811686532 88217529798 117623373064 176435059596 235246746128 352870119192 470493492256 705740238384 940986984512 1411480476768 1881973969024 2822960953536 5645921907072