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3806403221616 = 2431929260955163
BaseRepresentation
bin110111011000111111010…
…011111101100001110000
3111110212222210012101011220
4313120333103331201300
5444331003211042431
612032345411105040
7542001135354522
oct67307723754160
914425883171156
103806403221616
111238317427666
125158588a2180
13217c332740b8
14d233382da12
156902ec6bb96
hex3763f4fd870

3806403221616 has 160 divisors (see below), whose sum is σ = 10711966176000. Its totient is φ = 1160107167744.

The previous prime is 3806403221609. The next prime is 3806403221623. The reversal of 3806403221616 is 6161223046083.

It is an interprime number because it is at equal distance from previous prime (3806403221609) and next prime (3806403221623).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68975251 + ... + 69030413.

It is an arithmetic number, because the mean of its divisors is an integer number (66949788600).

Almost surely, 23806403221616 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 3806403221616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5355983088000).

3806403221616 is an abundant number, since it is smaller than the sum of its proper divisors (6905562954384).

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

3806403221616 is a wasteful number, since it uses less digits than its factorization.

3806403221616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57831 (or 57825 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

Adding to 3806403221616 its reverse (6161223046083), we get a palindrome (9967626267699).

The spelling of 3806403221616 in words is "three trillion, eight hundred six billion, four hundred three million, two hundred twenty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 38 48 57 58 76 87 114 116 152 174 228 232 304 348 456 464 551 696 912 1102 1392 1653 2204 2609 3306 4408 5218 6612 7827 8816 10436 13224 15654 20872 26448 31308 41744 49571 55163 62616 75661 99142 110326 125232 148713 151322 165489 198284 220652 226983 297426 302644 330978 396568 441304 453966 594852 605288 661956 793136 882608 907932 1048097 1189704 1210576 1323912 1437559 1599727 1815864 2096194 2379408 2647824 2875118 3144291 3199454 3631728 4192388 4312677 4799181 5750236 6288582 6398908 8384776 8625354 9598362 11500472 12577164 12797816 16769552 17250708 19196724 23000944 25154328 25595632 30394813 34501416 38393448 50308656 60789626 69002832 76786896 91184439 121579252 143920267 182368878 243158504 287840534 364737756 431760801 486317008 575681068 729475512 863521602 1151362136 1458951024 1727043204 2302724272 2734485073 3454086408 4173687743 5468970146 6908172816 8203455219 8347375486 10937940292 12521063229 16406910438 16694750972 21875880584 25042126458 32813820876 33389501944 43751761168 50084252916 65627641752 66779003888 79300067117 100168505832 131255283504 158600134234 200337011664 237900201351 317200268468 475800402702 634400536936 951600805404 1268801073872 1903201610808 3806403221616