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145166131351560 = 233511109974341933
BaseRepresentation
bin100001000000011100011111…
…101100010101000000001000
3201000222202011021210202011010
4201000130133230111000020
5123011400214111222220
61232424222231003520
742401623030163034
oct4100343754250010
9630882137722133
10145166131351560
1142288679747060
12143462038095a0
1363001520aa047
1427bc1149c91c4
1511bb186acc1e0
hex84071fb15008

145166131351560 has 64 divisors (see below), whose sum is σ = 475089157154880. Its totient is φ = 35191789418240.

The previous prime is 145166131351513. The next prime is 145166131351583. The reversal of 145166131351560 is 65153131661541.

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 15 ways as a sum of consecutive naturals, for example, 54987169647 + ... + 54987172286.

It is an arithmetic number, because the mean of its divisors is an integer number (7423268080545).

Almost surely, 2145166131351560 is an apocalyptic number.

145166131351560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145166131351560 is an abundant number, since it is smaller than the sum of its proper divisors (329923025803320).

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

145166131351560 is a wasteful number, since it uses less digits than its factorization.

145166131351560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109974341958 (or 109974341954 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The spelling of 145166131351560 in words is "one hundred forty-five trillion, one hundred sixty-six billion, one hundred thirty-one million, three hundred fifty-one thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 109974341933 219948683866 329923025799 439897367732 549871709665 659846051598 879794735464 1099743419330 1209717761263 1319692103196 1649615128995 2199486838660 2419435522526 2639384206392 3299230257990 3629153283789 4398973677320 4838871045052 6048588806315 6598460515980 7258306567578 9677742090104 12097177612630 13196921031960 14516613135156 18145766418945 24194355225260 29033226270312 36291532837890 48388710450520 72583065675780 145166131351560