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4053344433504 = 253671016239447
BaseRepresentation
bin111010111110111110001…
…001111011010101100000
3112100111101112122200211120
4322332332021323111200
51012402222133333004
612342025234212240
7565562440132632
oct72767611732540
915314345580746
104053344433504
111323017298053
12555694a24080
132352c87072a2
1410027bcd4a52
157068427d3d9
hex3afbe27b560

4053344433504 has 96 divisors (see below), whose sum is σ = 10905756454656. Its totient is φ = 1317770995200.

The previous prime is 4053344433499. The next prime is 4053344433577.

4053344433504 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2470092 + ... + 3769355.

It is an arithmetic number, because the mean of its divisors is an integer number (113601629736).

Almost surely, 24053344433504 is an apocalyptic number.

It is an amenable number.

4053344433504 is an abundant number, since it is smaller than the sum of its proper divisors (6852412021152).

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

4053344433504 is a wasteful number, since it uses less digits than its factorization.

4053344433504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6239628 (or 6239620 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 42.

The spelling of 4053344433504 in words is "four trillion, fifty-three billion, three hundred forty-four million, four hundred thirty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 101 134 201 202 268 303 402 404 536 606 804 808 1072 1212 1608 1616 2144 2424 3216 3232 4848 6432 6767 9696 13534 20301 27068 40602 54136 81204 108272 162408 216544 324816 649632 6239447 12478894 18718341 24957788 37436682 49915576 74873364 99831152 149746728 199662304 299493456 418042949 598986912 630184147 836085898 1254128847 1260368294 1672171796 1890552441 2508257694 2520736588 3344343592 3781104882 5016515388 5041473176 6688687184 7562209764 10033030776 10082946352 13377374368 15124419528 20066061552 20165892704 30248839056 40132123104 42222337849 60497678112 84444675698 126667013547 168889351396 253334027094 337778702792 506668054188 675557405584 1013336108376 1351114811168 2026672216752 4053344433504