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45115599086680 = 23543193308943997
BaseRepresentation
bin10100100001000010010110…
…10000011110010001011000
312220202000020200010012002111
422100201023100132101120
521403133221331233210
6235541453050242104
712334331413610203
oct1220411320362130
9186660220105074
1045115599086680
1113414466583401
125087856a26334
131c234c8b53465
14b1d86c8d293a
15533860d7988a
hex29084b41e458

45115599086680 has 128 divisors (see below), whose sum is σ = 104445162676800. Its totient is φ = 17529155223552.

The previous prime is 45115599086659. The next prime is 45115599086711. The reversal of 45115599086680 is 8668099551154.

It is a congruent number.

It is an unprimeable number.

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, 1025402442 + ... + 1025446438.

Almost surely, 245115599086680 is an apocalyptic number.

45115599086680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45115599086680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52222581338400).

45115599086680 is an abundant number, since it is smaller than the sum of its proper divisors (59329563590120).

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

45115599086680 is a wasteful number, since it uses less digits than its factorization.

45115599086680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47333 (or 47329 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 67.

The spelling of 45115599086680 in words is "forty-five trillion, one hundred fifteen billion, five hundred ninety-nine million, eighty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 193 215 344 386 430 772 860 965 1544 1720 1930 3089 3860 6178 7720 8299 12356 15445 16598 24712 30890 33196 41495 43997 61780 66392 82990 87994 123560 132827 165980 175988 219985 265654 331960 351976 439970 531308 596177 664135 879940 1062616 1192354 1328270 1759880 1891871 2384708 2656540 2980885 3783742 4769416 5313080 5961770 7567484 8491421 9459355 11923540 15134968 16982842 18918710 23847080 25635611 33965684 37837420 42457105 51271222 67931368 75674840 84914210 102542444 128178055 135906733 169828420 205084888 256356110 271813466 339656840 365131103 512712220 543626932 679533665 730262206 1025424440 1087253864 1359067330 1460524412 1825655515 2718134660 2921048824 3651311030 5436269320 5843989519 7302622060 11687979038 14605244120 23375958076 26229999469 29219947595 46751916152 52459998938 58439895190 104919997876 116879790380 131149997345 209839995752 233759580760 262299994690 524599989380 1049199978760 1127889977167 2255779954334 4511559908668 5639449885835 9023119817336 11278899771670 22557799543340 45115599086680