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45158485080 = 23356718473041
BaseRepresentation
bin101010000011101001…
…111100110001011000
311022120011122201201110
4222003221330301120
51214441033010310
632425011020320
73156032534622
oct520351746130
9138504581643
1045158485080
1118173873255
12890359a6a0
1343489c11b7
142285725c12
1512947e6d20
hexa83a7cc58

45158485080 has 128 divisors (see below), whose sum is σ = 137617159680. Its totient is φ = 11852206080.

The previous prime is 45158485067. The next prime is 45158485081. The reversal of 45158485080 is 8058485154.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45158485081) 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, 14848360 + ... + 14851400.

It is an arithmetic number, because the mean of its divisors is an integer number (1075134060).

Almost surely, 245158485080 is an apocalyptic number.

45158485080 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 45158485080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68808579840).

45158485080 is an abundant number, since it is smaller than the sum of its proper divisors (92458674600).

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

45158485080 is a wasteful number, since it uses less digits than its factorization.

45158485080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4969 (or 4965 counting only the distinct ones).

The product of its (nonzero) digits is 1024000, while the sum is 48.

The spelling of 45158485080 in words is "forty-five billion, one hundred fifty-eight million, four hundred eighty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1608 1847 2010 2680 3041 3694 4020 5541 6082 7388 8040 9123 9235 11082 12164 14776 15205 18246 18470 22164 24328 27705 30410 36492 36940 44328 45615 55410 60820 72984 73880 91230 110820 121640 123749 182460 203747 221640 247498 364920 371247 407494 494996 611241 618745 742494 814988 989992 1018735 1222482 1237490 1484988 1629976 1856235 2037470 2444964 2474980 2969976 3056205 3712470 4074940 4889928 4949960 5616727 6112410 7424940 8149880 11233454 12224820 14849880 16850181 22466908 24449640 28083635 33700362 44933816 56167270 67400724 84250905 112334540 134801448 168501810 224669080 337003620 376320709 674007240 752641418 1128962127 1505282836 1881603545 2257924254 3010565672 3763207090 4515848508 5644810635 7526414180 9031697016 11289621270 15052828360 22579242540 45158485080