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327631003364 = 227314717474597
BaseRepresentation
bin1001100010010000101…
…01000101111011100100
31011022200011112102200002
410301020111011323210
520331442014101424
6410302301240432
732446000402430
oct4611025057344
91138604472602
10327631003364
11116a47184075
12535b6b63118
1324b84471942
1411c00abb9c0
1587c8337cae
hex4c48545ee4

327631003364 has 96 divisors (see below), whose sum is σ = 691336740864. Its totient is φ = 132887640960.

The previous prime is 327631003363. The next prime is 327631003373. The reversal of 327631003364 is 463300136723.

It is not an unprimeable number, because it can be changed into a prime (327631003363) 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 31 ways as a sum of consecutive naturals, for example, 71268314 + ... + 71272910.

It is an arithmetic number, because the mean of its divisors is an integer number (7201424384).

Almost surely, 2327631003364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327631003364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345668370432).

327631003364 is an abundant number, since it is smaller than the sum of its proper divisors (363705737500).

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

327631003364 is a wasteful number, since it uses less digits than its factorization.

327631003364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6433 (or 6431 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 38.

The spelling of 327631003364 in words is "three hundred twenty-seven billion, six hundred thirty-one million, three thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 31 47 62 94 124 188 217 329 434 658 868 1316 1457 1747 2914 3494 4597 5828 6988 9194 10199 12229 18388 20398 24458 32179 40796 48916 54157 64358 82109 108314 128716 142507 164218 216059 216628 285014 328436 379099 432118 570028 574763 758198 864236 997549 1149526 1512413 1516396 1995098 2299052 2545379 3024826 3990196 5090758 6049652 6697829 8030959 10181516 13395658 16061918 17817653 26791316 32123836 35635306 46884803 56216713 71270612 93769606 112433426 187539212 224866852 248959729 377455073 497919458 754910146 995838916 1509820292 1742718103 2642185511 3485436206 5284371022 6970872412 10568742044 11701107263 23402214526 46804429052 81907750841 163815501682 327631003364