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4226744261432 = 2372112063475147
BaseRepresentation
bin111101100000011101100…
…101110001101100111000
3112222001222002000122002202
4331200131211301230320
51023222333012331212
612553423422245332
7614241443300600
oct75403545615470
915861862018082
104226744261432
11138a608a43270
12583208126848
13248770b26a74
1410880b2d1c00
1574e322ea0c2
hex3d81d971b38

4226744261432 has 96 divisors (see below), whose sum is σ = 10062038142720. Its totient is φ = 1645981767360.

The previous prime is 4226744261431. The next prime is 4226744261461. The reversal of 4226744261432 is 2341624476224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4226744261431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8658083 + ... + 9133229.

It is an arithmetic number, because the mean of its divisors is an integer number (104812897320).

Almost surely, 24226744261432 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 4226744261432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5031019071360).

4226744261432 is an abundant number, since it is smaller than the sum of its proper divisors (5835293881288).

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

4226744261432 is a wasteful number, since it uses less digits than its factorization.

4226744261432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477241 (or 477230 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 47.

The spelling of 4226744261432 in words is "four trillion, two hundred twenty-six billion, seven hundred forty-four million, two hundred sixty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 392 539 616 1078 2063 2156 4126 4312 8252 14441 16504 22693 28882 45386 57764 90772 101087 115528 158851 181544 202174 317702 404348 475147 635404 808696 950294 1111957 1270808 1900588 2223914 3326029 3801176 4447828 5226617 6652058 8895656 10453234 13304116 20906468 23282203 26608232 36586319 41812936 46564406 73172638 93128812 146345276 186257624 256104233 292690552 512208466 980228261 1024416932 1960456522 2048833864 3920913044 6861597827 7841826088 10782510871 13723195654 21565021742 27446391308 43130043484 48031184789 54892782616 75477576097 86260086968 96062369578 150955152194 192124739156 301910304388 384249478312 528343032679 603820608776 1056686065358 2113372130716 4226744261432