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4382066280284 = 2271124727519319
BaseRepresentation
bin111111110001000111100…
…000010000011101011100
3120111220212201210201100122
4333301013200100131130
51033243432431432114
613153032104214112
7631410454544030
oct77610740203534
916456781721318
104382066280284
11143a4731a1a00
125a933516a338
1325a2c4b71bb4
1411214380a1c0
1578ec323de8e
hex3fc4781075c

4382066280284 has 72 divisors (see below), whose sum is σ = 9838266977280. Its totient is φ = 1670972988960.

The previous prime is 4382066280281. The next prime is 4382066280299. The reversal of 4382066280284 is 4820826602834.

4382066280284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4382066280281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13600424 + ... + 13918895.

Almost surely, 24382066280284 is an apocalyptic number.

4382066280284 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4382066280284 is an abundant number, since it is smaller than the sum of its proper divisors (5456200696996).

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

4382066280284 is a wasteful number, since it uses less digits than its factorization.

4382066280284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27519399 (or 27519386 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 53.

The spelling of 4382066280284 in words is "four trillion, three hundred eighty-two billion, sixty-six million, two hundred eighty thousand, two hundred eighty-four".

Divisors: 1 2 4 7 11 14 22 28 44 47 77 94 121 154 188 242 308 329 484 517 658 847 1034 1316 1694 2068 3388 3619 5687 7238 11374 14476 22748 39809 79618 159236 27519319 55038638 110077276 192635233 302712509 385270466 605425018 770540932 1210850036 1293407993 2118987563 2586815986 3329837599 4237975126 5173631972 6659675198 8475950252 9053855951 13319350396 14227487923 18107711902 23308863193 28454975846 36215423804 46617726386 56909951692 93235452772 99592415461 156502367153 199184830922 313004734306 398369661844 626009468612 1095516570071 2191033140142 4382066280284