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145919527483080 = 23351393538158643
BaseRepresentation
bin100001001011011010001001…
…100110011111011011001000
3201010122202210202112200010210
4201023122021212133123020
5123111221143013424310
61234202301104441120
742510223630505301
oct4113321146373310
9633582722480123
10145919527483080
114254914017166a
12144482226191a0
1363561c9a86a80
1428067856a17a8
1511d0a7d76a820
hex84b68999f6c8

145919527483080 has 64 divisors (see below), whose sum is σ = 471432319565760. Its totient is φ = 35918652918528.

The previous prime is 145919527483057. The next prime is 145919527483097. The reversal of 145919527483080 is 80384725919541.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46769077762 + ... + 46769080881.

It is an arithmetic number, because the mean of its divisors is an integer number (7366129993215).

Almost surely, 2145919527483080 is an apocalyptic number.

145919527483080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145919527483080 is an abundant number, since it is smaller than the sum of its proper divisors (325512792082680).

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

145919527483080 is a wasteful number, since it uses less digits than its factorization.

145919527483080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93538158670 (or 93538158666 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 66.

The spelling of 145919527483080 in words is "one hundred forty-five trillion, nine hundred nineteen billion, five hundred twenty-seven million, four hundred eighty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 93538158643 187076317286 280614475929 374152634572 467690793215 561228951858 748305269144 935381586430 1122457903716 1215996062359 1403072379645 1870763172860 2244915807432 2431992124718 2806144759290 3647988187077 3741526345720 4863984249436 5612289518580 6079980311795 7295976374154 9727968498872 11224579037160 12159960623590 14591952748308 18239940935385 24319921247180 29183905496616 36479881870770 48639842494360 72959763741540 145919527483080