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4233066720 = 253516635303
BaseRepresentation
bin1111110001001111…
…0111100011100000
3101221000021001212220
43330103313203200
532132131113340
61540013151040
7206620321251
oct37423674340
911830231786
104233066720
111882501753
129a178b480
13525cb580c
142c22a2b28
1519b961ed0
hexfc4f78e0

4233066720 has 96 divisors (see below), whose sum is σ = 13344694272. Its totient is φ = 1127926272.

The previous prime is 4233066713. The next prime is 4233066727. The reversal of 4233066720 is 276603324.

It is an interprime number because it is at equal distance from previous prime (4233066713) and next prime (4233066727).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4233066727) 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, 795589 + ... + 800891.

It is an arithmetic number, because the mean of its divisors is an integer number (139007232).

Almost surely, 24233066720 is an apocalyptic number.

4233066720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4233066720 is an abundant number, since it is smaller than the sum of its proper divisors (9111627552).

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

4233066720 is a wasteful number, since it uses less digits than its factorization.

4233066720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6984 (or 6976 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The square root of 4233066720 is about 65062.0221019913. The cubic root of 4233066720 is about 1617.6517723502.

The spelling of 4233066720 in words is "four billion, two hundred thirty-three million, sixty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1663 3326 4989 5303 6652 8315 9978 10606 13304 15909 16630 19956 21212 24945 26515 26608 31818 33260 39912 42424 49890 53030 53216 63636 66520 79545 79824 84848 99780 106060 127272 133040 159090 159648 169696 199560 212120 254544 266080 318180 399120 424240 509088 636360 798240 848480 1272720 2545440 8818889 17637778 26456667 35275556 44094445 52913334 70551112 88188890 105826668 132283335 141102224 176377780 211653336 264566670 282204448 352755560 423306672 529133340 705511120 846613344 1058266680 1411022240 2116533360 4233066720