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863042240368 = 247114353307381
BaseRepresentation
bin11001000111100010101…
…00110111111101110000
310001111122220020100222001
430203301110313331300
5103120002303142433
61500250502223344
7116231664001120
oct14436124677560
93044586210861
10863042240368
11303017932aa0
1211b31b124b54
13634cca8a599
142dab2c98c80
15176b2b7e57d
hexc8f1537f70

863042240368 has 160 divisors (see below), whose sum is σ = 2173490744832. Its totient is φ = 322232601600.

The previous prime is 863042240329. The next prime is 863042240413.

863042240368 is nontrivially palindromic in base 10.

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, 2654038 + ... + 2961418.

Almost surely, 2863042240368 is an apocalyptic number.

863042240368 is a gapful number since it is divisible by the number (88) 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 863042240368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086745372416).

863042240368 is an abundant number, since it is smaller than the sum of its proper divisors (1310448504464).

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

863042240368 is a wasteful number, since it uses less digits than its factorization.

863042240368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307503 (or 307497 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 46.

The spelling of 863042240368 in words is "eight hundred sixty-three billion, forty-two million, two hundred forty thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 43 44 53 56 77 86 88 106 112 154 172 176 212 301 308 344 371 424 473 583 602 616 688 742 848 946 1166 1204 1232 1484 1892 2279 2332 2408 2968 3311 3784 4081 4558 4664 4816 5936 6622 7568 8162 9116 9328 13244 15953 16324 18232 25069 26488 31906 32648 36464 50138 52976 63812 65296 100276 127624 175483 200552 255248 307381 350966 401104 614762 701932 1229524 1403864 2151667 2459048 2807728 3381191 4303334 4918096 6762382 8606668 13217383 13524764 16291193 17213336 23668337 26434766 27049528 32582386 34426672 47336674 52869532 54099056 65164772 92521681 94673348 105739064 114038351 130329544 145391213 179203123 185043362 189346696 211478128 228076702 260659088 290782426 358406246 370086724 378693392 456153404 581564852 700521299 716812492 740173448 912306808 1017738491 1163129704 1254421861 1401042598 1433624984 1480346896 1824613616 2035476982 2326259408 2508843722 2802085196 2867249968 4070953964 4903649093 5017687444 5604170392 7705734289 8141907928 9807298186 10035374888 11208340784 15411468578 16283815856 19614596372 20070749776 30822937156 39229192744 53940140023 61645874312 78458385488 107880280046 123291748624 215760560092 431521120184 863042240368