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4233106720 = 255233271419
BaseRepresentation
bin1111110001010000…
…0001010100100000
3101221000100002202101
43330110001110200
532132133403340
61540014100144
7206620546003
oct37424012440
911830302671
104233106720
111882529807
129a17aa654
13525ccaa9b
142c22b353a
1519b96dc9a
hexfc501520

4233106720 has 96 divisors (see below), whose sum is σ = 10104756480. Its totient is φ = 1675745280.

The previous prime is 4233106711. The next prime is 4233106741. The reversal of 4233106720 is 276013324.

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, 10102671 + ... + 10103089.

It is an arithmetic number, because the mean of its divisors is an integer number (105257880).

Almost surely, 24233106720 is an apocalyptic number.

4233106720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4233106720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5052378240).

4233106720 is an abundant number, since it is smaller than the sum of its proper divisors (5871649760).

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

4233106720 is a wasteful number, since it uses less digits than its factorization.

4233106720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 4233106720 is about 65062.3295002569. The cubic root of 4233106720 is about 1617.6568676212.

The spelling of 4233106720 in words is "four billion, two hundred thirty-three million, one hundred six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 233 271 419 466 542 838 932 1084 1165 1355 1676 1864 2095 2168 2330 2710 3352 3728 4190 4336 4660 5420 6704 7456 8380 8672 9320 10840 13408 16760 18640 21680 33520 37280 43360 63143 67040 97627 113549 126286 195254 227098 252572 315715 390508 454196 488135 505144 567745 631430 781016 908392 976270 1010288 1135490 1262860 1562032 1816784 1952540 2020576 2270980 2525720 3124064 3633568 3905080 4541960 5051440 7810160 9083920 10102880 15620320 18167840 26456917 52913834 105827668 132284585 211655336 264569170 423310672 529138340 846621344 1058276680 2116553360 4233106720