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33680655467228 = 227111720033211441
BaseRepresentation
bin1111010100001111000111…
…00000010100001011011100
311102020211122210022100102102
413222013203200110023130
513403310440244422403
6155344402435344232
710044230016560150
oct752074340241334
9142224583270372
1033680655467228
11a805981a5a660
12393b653452078
1315a40c277aa93
1484621c367060
153d61a0181b88
hex1ea1e38142dc

33680655467228 has 96 divisors (see below), whose sum is σ = 77846587273728. Its totient is φ = 12344261529600.

The previous prime is 33680655467149. The next prime is 33680655467243. The reversal of 33680655467228 is 82276455608633.

It is a super-2 number, since 2×336806554672282 (a number of 28 digits) contains 22 as substring.

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, 8881988 + ... + 12093428.

It is an arithmetic number, because the mean of its divisors is an integer number (810901950768).

Almost surely, 233680655467228 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 33680655467228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38923293636864).

33680655467228 is an abundant number, since it is smaller than the sum of its proper divisors (44165931806500).

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

33680655467228 is a wasteful number, since it uses less digits than its factorization.

33680655467228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3213483 (or 3213481 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 65.

The spelling of 33680655467228 in words is "thirty-three trillion, six hundred eighty billion, six hundred fifty-five million, four hundred sixty-seven thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 187 238 308 374 476 748 1309 2003 2618 4006 5236 8012 14021 22033 28042 34051 44066 56084 68102 88132 136204 154231 238357 308462 374561 476714 616924 749122 953428 1498244 2621927 3211441 5243854 6422882 10487708 12845764 22480087 35325851 44960174 54594497 70651702 89920348 109188994 141303404 218377988 247280957 382161479 494561914 600539467 764322958 989123828 1201078934 1528645916 2402157868 4203776269 6432516323 8407552538 12865032646 16815105076 25730065292 45027614261 70757679553 90055228522 109352777491 141515359106 180110457044 218705554982 283030718212 437411109964 495303756871 765469442437 990607513742 1202880552401 1530938884874 1981215027484 2405761104802 3061877769748 4811522209604 8420163866807 16840327733614 33680655467228