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324198139456 = 2610326912
BaseRepresentation
bin1001011011110111011…
…01110000011001000000
31010222210220222212200101
410231323231300121000
520302424210430311
6404533511132144
732264634501022
oct4557355603100
91128726885611
10324198139456
11115545441664
12529b9374054
13247581b0419
1411996bd8012
158676c8cec1
hex4b7bb70640

324198139456 has 63 divisors (see below), whose sum is σ = 650578753323. Its totient is φ = 160292983680.

The previous prime is 324198139451. The next prime is 324198139511. The reversal of 324198139456 is 654931891423.

The square root of 324198139456 is 569384.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 324198139397 and 324198139406.

It is not an unprimeable number, because it can be changed into a prime (324198139451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 469172071 + ... + 469172761.

Almost surely, 2324198139456 is an apocalyptic number.

324198139456 is the 569384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 324198139456

324198139456 is an abundant number, since it is smaller than the sum of its proper divisors (326380613867).

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

324198139456 is an frugal number, since it uses more digits than its factorization.

324198139456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 796 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 55.

The spelling of 324198139456 in words is "three hundred twenty-four billion, one hundred ninety-eight million, one hundred thirty-nine thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 103 206 412 691 824 1382 1648 2764 3296 5528 6592 10609 11056 21218 22112 42436 44224 71173 84872 142346 169744 284692 339488 477481 569384 678976 954962 1138768 1909924 2277536 3819848 4555072 7330819 7639696 14661638 15279392 29323276 30558784 49180543 58646552 98361086 117293104 196722172 234586208 393444344 469172416 786888688 1573777376 3147554752 5065595929 10131191858 20262383716 40524767432 81049534864 162099069728 324198139456