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4032053034336 = 253311689399241
BaseRepresentation
bin111010101011001001000…
…101101011110101100000
3112021110102201010112222000
4322223021011223311200
51012030121034044321
612324144413444000
7564210014206605
oct72531105536540
915243381115860
104032053034336
111314a90905798
125515324a0600
132332b4616442
14dd21c2ca6ac
156ed39e70826
hex3aac916bd60

4032053034336 has 96 divisors (see below), whose sum is σ = 11761190229600. Its totient is φ = 1343899330560.

The previous prime is 4032053034319. The next prime is 4032053034337. The reversal of 4032053034336 is 6334303502304.

4032053034336 is a `hidden beast` number, since 40 + 3 + 20 + 530 + 34 + 3 + 36 = 666.

4032053034336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4032053034336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4032053034337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9899676 + ... + 10298916.

It is an arithmetic number, because the mean of its divisors is an integer number (122512398225).

Almost surely, 24032053034336 is an apocalyptic number.

It is an amenable number.

4032053034336 is an abundant number, since it is smaller than the sum of its proper divisors (7729137195264).

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

4032053034336 is a wasteful number, since it uses less digits than its factorization.

4032053034336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410949 (or 410935 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 36.

The spelling of 4032053034336 in words is "four trillion, thirty-two billion, fifty-three million, thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 11689 23378 35067 46756 70134 93512 105201 140268 187024 210402 280536 315603 374048 399241 420804 561072 631206 798482 841608 1122144 1197723 1262412 1596964 1683216 2395446 2524824 3193928 3366432 3593169 4790892 5049648 6387856 7186338 9581784 10099296 10779507 12775712 14372676 19163568 21559014 28745352 38327136 43118028 57490704 86236056 114981408 172472112 344944224 4666728049 9333456098 14000184147 18666912196 28000368294 37333824392 42000552441 56000736588 74667648784 84001104882 112001473176 126001657323 149335297568 168002209764 224002946352 252003314646 336004419528 448005892704 504006629292 672008839056 1008013258584 1344017678112 2016026517168 4032053034336