Search a number
-
+
22011475868304 = 2431397661550163
BaseRepresentation
bin1010000000100111100100…
…01100110011101010010000
32212221021110121011212110020
411000103302030303222100
510341114000310241204
6114451533222503440
74431163614551646
oct500236214635220
985837417155406
1022011475868304
1170170183205aa
122575b7a894b80
13c3889a228910
1456150ac91196
152828805a0bd9
hex1404f2333a90

22011475868304 has 160 divisors (see below), whose sum is σ = 61962075256704. Its totient is φ = 6692786749440.

The previous prime is 22011475868293. The next prime is 22011475868381. The reversal of 22011475868304 is 40386857411022.

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, 39733927 + ... + 40284089.

Almost surely, 222011475868304 is an apocalyptic number.

22011475868304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22011475868304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30981037628352).

22011475868304 is an abundant number, since it is smaller than the sum of its proper divisors (39950599388400).

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

22011475868304 is a wasteful number, since it uses less digits than its factorization.

22011475868304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550945 (or 550939 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 22011475868304 in words is "twenty-two trillion, eleven billion, four hundred seventy-five million, eight hundred sixty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 97 104 156 194 208 291 312 388 582 624 661 776 1164 1261 1322 1552 1983 2328 2522 2644 3783 3966 4656 5044 5288 7566 7932 8593 10088 10576 15132 15864 17186 20176 25779 30264 31728 34372 51558 60528 64117 68744 103116 128234 137488 192351 206232 256468 384702 412464 512936 550163 769404 833521 1025872 1100326 1538808 1650489 1667042 2200652 2500563 3077616 3300978 3334084 4401304 5001126 6601956 6668168 7152119 8802608 10002252 13203912 13336336 14304238 20004504 21456357 26407824 28608476 40009008 42912714 53365811 57216952 85825428 106731622 114433904 160097433 171650856 213463244 320194866 343301712 363657743 426926488 640389732 693755543 727315486 853852976 1090973229 1280779464 1387511086 1454630972 2081266629 2181946458 2561558928 2775022172 2909261944 4162533258 4363892916 4727550659 5550044344 5818523888 8325066516 8727785832 9455101318 11100088688 14182651977 16650133032 17455571664 18910202636 28365303954 33300266064 35274801071 37820405272 56730607908 70549602142 75640810544 105824403213 113461215816 141099204284 211648806426 226922431632 282198408568 423297612852 458572413923 564396817136 846595225704 917144827846 1375717241769 1693190451408 1834289655692 2751434483538 3668579311384 5502868967076 7337158622768 11005737934152 22011475868304