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4418008008 = 23317791131213
BaseRepresentation
bin1000001110101010…
…10111001111001000
3102101220021001122020
410013111113033020
533022002224013
62010221124440
7214324306551
oct40725271710
912356231566
104418008008
111967939897
12a336b9720
135553c982b
142dca85328
151acce4623
hex1075573c8

4418008008 has 128 divisors (see below), whose sum is σ = 11957414400. Its totient is φ = 1355268096.

The previous prime is 4418007967. The next prime is 4418008009. The reversal of 4418008008 is 8008008144.

It is a self number, because there is not a number n which added to its sum of digits gives 4418008008.

It is not an unprimeable number, because it can be changed into a prime (4418008009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3641610 + ... + 3642822.

It is an arithmetic number, because the mean of its divisors is an integer number (93417300).

Almost surely, 24418008008 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 4418008008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5978707200).

4418008008 is an abundant number, since it is smaller than the sum of its proper divisors (7539406392).

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

4418008008 is a wasteful number, since it uses less digits than its factorization.

4418008008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 4418008008 is about 66468.0976709880. The cubic root of 4418008008 is about 1640.8750050084.

The spelling of 4418008008 in words is "four billion, four hundred eighteen million, eight thousand, eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 79 102 113 136 158 204 226 237 316 339 408 452 474 632 678 904 948 1213 1343 1356 1896 1921 2426 2686 2712 3639 3842 4029 4852 5372 5763 7278 7684 8058 8927 9704 10744 11526 14556 15368 16116 17854 20621 23052 26781 29112 32232 35708 41242 46104 53562 61863 71416 82484 95827 107124 123726 137069 151759 164968 191654 214248 247452 274138 287481 303518 383308 411207 455277 494904 548276 574962 607036 766616 822414 910554 1096552 1149924 1214072 1629059 1644828 1821108 2299848 2330173 3258118 3289656 3642216 4660346 4887177 6516236 6990519 9320692 9774354 10828451 13032472 13981038 18641384 19548708 21656902 27962076 32485353 39097416 43313804 55924152 64970706 86627608 129941412 184083667 259882824 368167334 552251001 736334668 1104502002 1472669336 2209004004 4418008008