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180385379524 = 227223213192
BaseRepresentation
bin1010011111111111001…
…1100111010011000100
3122020121100220201120101
42213333303213103010
510423412124121044
6214511244413444
716014055266400
oct2477763472304
9566540821511
10180385379524
116a556931559
122ab62847284
131401973717c
148a33076100
154a5b47ecd4
hex29ffce74c4

180385379524 has 81 divisors (see below), whose sum is σ = 384164299407. Its totient is φ = 73890738768.

The previous prime is 180385379507. The next prime is 180385379569. The reversal of 180385379524 is 425973583081.

The square root of 180385379524 is 424718.

It is a perfect power (a square), and thus also a powerful number.

180385379524 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 26 ways as a sum of consecutive naturals, for example, 136758537 + ... + 136759855.

Almost surely, 2180385379524 is an apocalyptic number.

180385379524 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

180385379524 is the 424718-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 180385379524

180385379524 is an abundant number, since it is smaller than the sum of its proper divisors (203778919883).

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

180385379524 is an equidigital number, since it uses as much as digits as its factorization.

180385379524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 180385379524 in words is "one hundred eighty billion, three hundred eighty-five million, three hundred seventy-nine thousand, five hundred twenty-four".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 529 644 1058 1127 1319 2116 2254 2638 3703 4508 5276 7406 9233 14812 18466 25921 30337 36932 51842 60674 64631 103684 121348 129262 212359 258524 424718 697751 849436 1395502 1486513 1739761 2791004 2973026 3479522 4884257 5946052 6959044 9768514 12178327 19537028 24356654 34189799 40014503 48713308 68379598 80029006 85248289 136759196 160058012 170496578 280101521 340993156 560203042 920333569 1120406084 1840667138 1960710647 3681334276 3921421294 6442334983 7842842588 12884669966 25769339932 45096344881 90192689762 180385379524