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233383849056 = 25322342183689
BaseRepresentation
bin1101100101011011000…
…0101110110001100000
3211022101220212221010100
43121112300232301200
512310432231132211
6255114241502400
722601316662001
oct3312660566140
9738356787110
10233383849056
118aa8310a0a6
1239293941a00
1319014773907
14b41dad11a8
15610e1b5156
hex3656c2ec60

233383849056 has 144 divisors (see below), whose sum is σ = 694194490080. Its totient is φ = 74234603520.

The previous prime is 233383849037. The next prime is 233383849067. The reversal of 233383849056 is 650948383332.

It is a happy number.

233383849056 is a `hidden beast` number, since 23 + 3 + 3 + 83 + 8 + 490 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2333838490562 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233383848993 and 233383849011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2746860 + ... + 2830548.

It is an arithmetic number, because the mean of its divisors is an integer number (4820795070).

Almost surely, 2233383849056 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 233383849056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347097245040).

233383849056 is an abundant number, since it is smaller than the sum of its proper divisors (460810641024).

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

233383849056 is a wasteful number, since it uses less digits than its factorization.

233383849056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84149 (or 84138 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 233383849056 in words is "two hundred thirty-three billion, three hundred eighty-three million, eight hundred forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 421 552 736 828 842 1104 1263 1656 1684 2208 2526 3312 3368 3789 5052 6624 6736 7578 9683 10104 13472 15156 19366 20208 29049 30312 38732 40416 58098 60624 77464 83689 87147 116196 121248 154928 167378 174294 232392 251067 309856 334756 348588 464784 502134 669512 697176 753201 929568 1004268 1339024 1394352 1506402 1924847 2008536 2678048 2788704 3012804 3849694 4017072 5774541 6025608 7699388 8034144 11549082 12051216 15398776 17323623 23098164 24102432 30797552 34647246 35233069 46196328 61595104 69294492 70466138 92392656 105699207 138588984 140932276 184785312 211398414 277177968 281864552 317097621 422796828 554355936 563729104 634195242 810360587 845593656 1127458208 1268390484 1620721174 1691187312 2431081761 2536780968 3241442348 3382374624 4862163522 5073561936 6482884696 7293245283 9724327044 10147123872 12965769392 14586490566 19448654088 25931538784 29172981132 38897308176 58345962264 77794616352 116691924528 233383849056