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381761638467328 = 2872100930162343
BaseRepresentation
bin101011011001101011100111…
…0110110011000011100000000
31212001201001111222101000002101
41112303113032312120130000
5400014240313421423303
63431534513043000144
7143261240200533400
oct12663271666303400
91761631458330071
10381761638467328
11100706224455a39
1236997b68369054
1313502c77a10772
146a3b50d056800
152e2076a0b5d1d
hex15b35ced98700

381761638467328 has 108 divisors (see below), whose sum is σ = 887323979624880. Its totient is φ = 163449972596736.

The previous prime is 381761638467283. The next prime is 381761638467329. The reversal of 381761638467328 is 823764836167183.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381761638467329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2424276 + ... + 27738067.

Almost surely, 2381761638467328 is an apocalyptic number.

It is an amenable number.

381761638467328 is an abundant number, since it is smaller than the sum of its proper divisors (505562341157552).

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

381761638467328 is a wasteful number, since it uses less digits than its factorization.

381761638467328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30163382 (or 30163361 counting only the distinct ones).

The product of its digits is 1170505728, while the sum is 73.

The spelling of 381761638467328 in words is "three hundred eighty-one trillion, seven hundred sixty-one billion, six hundred thirty-eight million, four hundred sixty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1009 1568 1792 2018 3136 4036 6272 7063 8072 12544 14126 16144 28252 32288 49441 56504 64576 98882 113008 129152 197764 226016 258304 395528 452032 791056 904064 1582112 1808128 3164224 6328448 12656896 30162343 60324686 120649372 211136401 241298744 422272802 482597488 844545604 965194976 1477954807 1689091208 1930389952 2955909614 3378182416 3860779904 5911819228 6756364832 7721559808 11823638456 13512729664 23647276912 27025459328 30433804087 47294553824 54050918656 60867608174 94589107648 121735216348 189178215296 213036628609 243470432696 378356430592 426073257218 486940865392 852146514436 973881730784 1491256400263 1704293028872 1947763461568 2982512800526 3408586057744 3895526923136 5965025601052 6817172115488 7791053846272 11930051202104 13634344230976 23860102404208 27268688461952 47720204808416 54537376923904 95440409616832 190880819233664 381761638467328