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328454742366 = 233171811197567
BaseRepresentation
bin1001100011110010110…
…11011010000101011110
31011101210120112201011000
410301321123122011132
520340133403223431
6410520125011130
732505262150032
oct4617133320536
91141716481130
10328454742366
1111732a159403
12537a69b3aa6
1324c86016a7a
1411c7c2661c2
1588257ed9e6
hex4c796da15e

328454742366 has 64 divisors (see below), whose sum is σ = 773265346560. Its totient is φ = 102987204480.

The previous prime is 328454742271. The next prime is 328454742419. The reversal of 328454742366 is 663247454823.

328454742366 is a `hidden beast` number, since 3 + 28 + 4 + 547 + 42 + 36 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1563715 + ... + 1761281.

It is an arithmetic number, because the mean of its divisors is an integer number (12082271040).

Almost surely, 2328454742366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328454742366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386632673280).

328454742366 is an abundant number, since it is smaller than the sum of its proper divisors (444810604194).

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

328454742366 is a wasteful number, since it uses less digits than its factorization.

328454742366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199406 (or 199400 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 54.

The spelling of 328454742366 in words is "three hundred twenty-eight billion, four hundred fifty-four million, seven hundred forty-two thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 1811 3622 5433 10866 16299 30787 32598 48897 61574 92361 97794 184722 197567 277083 395134 554166 592701 831249 1185402 1662498 1778103 3358639 3556206 5334309 6717278 10075917 10668618 20151834 30227751 60455502 90683253 181366506 357793837 715587674 1073381511 2146763022 3220144533 6082495229 6440289066 9660433599 12164990458 18247485687 19320867198 36494971374 54742457061 109484914122 164227371183 328454742366