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4380216522 = 23115967103163
BaseRepresentation
bin1000001010001010…
…01100110011001010
3102022021011001110120
410011011030303022
532432313412042
62002351124110
7213355140363
oct40505146312
912267131416
104380216522
111948577560
12a22b13636
1354a6272c6
142d7a48b6a
151a982bdec
hex10514ccca

4380216522 has 128 divisors (see below), whose sum is σ = 10020741120. Its totient is φ = 1265077440.

The previous prime is 4380216499. The next prime is 4380216553. The reversal of 4380216522 is 2256120834.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26872413 + ... + 26872575.

It is an arithmetic number, because the mean of its divisors is an integer number (78287040).

Almost surely, 24380216522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4380216522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5010370560).

4380216522 is an abundant number, since it is smaller than the sum of its proper divisors (5640524598).

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

4380216522 is a wasteful number, since it uses less digits than its factorization.

4380216522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408.

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 4380216522 is about 66183.2042288676. The cubic root of 4380216522 is about 1636.1829384066.

The spelling of 4380216522 in words is "four billion, three hundred eighty million, two hundred sixteen thousand, five hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 59 66 67 103 118 134 163 177 201 206 309 326 354 402 489 618 649 737 978 1133 1298 1474 1793 1947 2211 2266 3399 3586 3894 3953 4422 5379 6077 6798 6901 7906 9617 10758 10921 11859 12154 13802 16789 18231 19234 20703 21842 23718 28851 32763 33578 36462 41406 43483 50367 57702 65526 66847 75911 86966 100734 105787 120131 130449 133694 151822 184679 200541 211574 227733 240262 260898 317361 360393 369358 401082 407159 455466 554037 634722 644339 720786 814318 990551 1108074 1124863 1221477 1288678 1933017 1981102 2249726 2442954 2971653 3374589 3866034 4478749 5943306 6749178 7087729 8957498 10896061 12373493 13436247 14175458 21263187 21792122 24746986 26872494 32688183 37120479 42526374 65376366 66366917 74240958 132733834 199100751 398201502 730036087 1460072174 2190108261 4380216522