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4303010116216 = 237247219126017
BaseRepresentation
bin111110100111011111011…
…000111011001001111000
3120020100211011200110212001
4332213133120323021320
51031000031042204331
613052435304230344
7622611413333500
oct76473730731170
916210734613761
104303010116216
111409995038819
12595b5146b3b4
13252a064412a6
1410c3a415ca00
1576de7a5a561
hex3e9df63b278

4303010116216 has 144 divisors (see below), whose sum is σ = 9639906284160. Its totient is φ = 1795391216640.

The previous prime is 4303010116199. The next prime is 4303010116219. The reversal of 4303010116216 is 6126110103034.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4303010116219) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165379240 + ... + 165405256.

It is an arithmetic number, because the mean of its divisors is an integer number (66943793640).

Almost surely, 24303010116216 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 4303010116216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4819953142080).

4303010116216 is an abundant number, since it is smaller than the sum of its proper divisors (5336896167944).

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

4303010116216 is a wasteful number, since it uses less digits than its factorization.

4303010116216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26322 (or 26264 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 4303010116216 in words is "four trillion, three hundred three billion, ten million, one hundred sixteen thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 28 47 49 56 94 98 188 191 196 329 376 382 392 658 764 1316 1337 1528 2209 2303 2632 2674 4418 4606 5348 8836 8977 9212 9359 10696 15463 17672 17954 18424 18718 26017 30926 35908 37436 52034 61852 62839 71816 74872 104068 108241 123704 125678 182119 208136 216482 251356 364238 421919 432964 439873 502712 728476 843838 865928 879746 1222799 1274833 1456952 1687676 1759492 2445598 2549666 2953433 3375352 3518984 4891196 4969247 5099332 5906866 8559593 9782392 9938494 10198664 11813732 17119186 19876988 20674031 23627464 34238372 34784729 39753976 41348062 57471553 59917151 68476744 69569458 82696124 114943106 119834302 139138916 165392248 229886212 233554609 239668604 243493103 278277832 402300871 459772424 467109218 479337208 486986206 804601742 934218436 973972412 1609203484 1634882263 1868436872 1947944824 2816106097 3218406968 3269764526 5632212194 6539529052 10977066623 11264424388 11444175841 13079058104 21954133246 22528848776 22888351682 43908266492 45776703364 76839466361 87816532984 91553406728 153678932722 307357865444 537876264527 614715730888 1075752529054 2151505058108 4303010116216