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16458913482 = 2311232599787
BaseRepresentation
bin11110101010000011…
…10001011011001010
31120111001100102202020
433111001301123022
5232201440212412
611321111345310
71121603312334
oct172501613312
946431312666
1016458913482
116a8669a340
123234082236
131723b8407b
14b21cb0454
15664e4518c
hex3d50716ca

16458913482 has 96 divisors (see below), whose sum is σ = 37650009600. Its totient is φ = 4756683360.

The previous prime is 16458913481. The next prime is 16458913487. The reversal of 16458913482 is 28431985461.

16458913482 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×164589134822 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16458913481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20913093 + ... + 20913879.

It is an arithmetic number, because the mean of its divisors is an integer number (392187600).

Almost surely, 216458913482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16458913482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18825004800).

16458913482 is an abundant number, since it is smaller than the sum of its proper divisors (21191096118).

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

16458913482 is a wasteful number, since it uses less digits than its factorization.

16458913482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1425 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The spelling of 16458913482 in words is "sixteen billion, four hundred fifty-eight million, nine hundred thirteen thousand, four hundred eighty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 529 599 759 787 1058 1198 1518 1574 1587 1797 2361 3174 3594 4722 5819 6589 8657 11638 13178 13777 17314 17457 18101 19767 25971 27554 34914 36202 39534 41331 51942 54303 82662 108606 151547 199111 303094 316871 398222 416323 454641 471413 597333 633742 832646 909282 942826 950613 1194666 1248969 1414239 1901226 2497938 2828478 3485581 4579553 5185543 6971162 9159106 10371086 10456743 10842499 13738659 15556629 20913486 21684998 27477318 31113258 32527497 65054994 119267489 238534978 249377477 357802467 498754954 715604934 748132431 1496264862 2743152247 5486304494 8229456741 16458913482