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4053633320064 = 273107383257591
BaseRepresentation
bin111010111111001111010…
…111111100010010000000
3112100112010200020122200210
4322333033113330102000
51012403320112220224
612342114034114120
7565602545464536
oct72771727742200
915315120218623
104053633320064
111323155370879
1255575571b940
13235343513793
141002a8414156
157069e7e4429
hex3afcf5fc480

4053633320064 has 128 divisors (see below), whose sum is σ = 10896512532480. Its totient is φ = 1335082787840.

The previous prime is 4053633319997. The next prime is 4053633320123. The reversal of 4053633320064 is 4600233363504.

It is a tau number, because it is divible by the number of its divisors (128).

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, 15607909 + ... + 15865499.

It is an arithmetic number, because the mean of its divisors is an integer number (85129004160).

Almost surely, 24053633320064 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 4053633320064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5448256266240).

4053633320064 is an abundant number, since it is smaller than the sum of its proper divisors (6842879212416).

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

4053633320064 is a wasteful number, since it uses less digits than its factorization.

4053633320064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258098 (or 258086 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 39.

Adding to 4053633320064 its reverse (4600233363504), we get a palindrome (8653866683568).

The spelling of 4053633320064 in words is "four trillion, fifty-three billion, six hundred thirty-three million, three hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 321 383 384 428 642 766 856 1149 1284 1532 1712 2298 2568 3064 3424 4596 5136 6128 6848 9192 10272 12256 13696 18384 20544 24512 36768 40981 41088 49024 73536 81962 122943 147072 163924 245886 257591 327848 491772 515182 655696 772773 983544 1030364 1311392 1545546 1967088 2060728 2622784 3091092 3934176 4121456 5245568 6182184 7868352 8242912 12364368 15736704 16485824 24728736 27562237 32971648 49457472 55124474 82686711 98657353 98914944 110248948 165373422 197314706 220497896 295972059 330746844 394629412 440995792 591944118 661493688 789258824 881991584 1183888236 1322987376 1578517648 1763983168 2367776472 2645974752 3157035296 3527966336 4735552944 5291949504 6314070592 9471105888 10556336771 10583899008 12628141184 18942211776 21112673542 31669010313 37884423552 42225347084 63338020626 84450694168 126676041252 168901388336 253352082504 337802776672 506704165008 675605553344 1013408330016 1351211106688 2026816660032 4053633320064