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381827557314 = 23371319765827
BaseRepresentation
bin1011000111001101011…
…00100010011111000010
31100111120012220122002000
411203212230202133002
522223440323313224
6451224213404430
736405020454360
oct5434654423702
91314505818060
10381827557314
11137a2877a225
1262001339716
132a010781988
14146a28c8630
159deb32b0c9
hex58e6b227c2

381827557314 has 64 divisors (see below), whose sum is σ = 970457241600. Its totient is φ = 109010736144.

The previous prime is 381827557303. The next prime is 381827557357. The reversal of 381827557314 is 413755728183.

381827557314 is a `hidden beast` number, since 3 + 8 + 1 + 8 + 275 + 57 + 314 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115669 + ... + 881495.

It is an arithmetic number, because the mean of its divisors is an integer number (15163394400).

Almost surely, 2381827557314 is an apocalyptic number.

381827557314 is an abundant number, since it is smaller than the sum of its proper divisors (588629684286).

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

381827557314 is a wasteful number, since it uses less digits than its factorization.

381827557314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767164 (or 767158 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 381827557314 in words is "three hundred eighty-one billion, eight hundred twenty-seven million, five hundred fifty-seven thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 1319 2638 3957 7914 9233 11871 18466 23742 27699 35613 55398 71226 83097 166194 249291 498582 765827 1531654 2297481 4594962 5360789 6892443 10721578 13784886 16082367 20677329 32164734 41354658 48247101 96494202 144741303 289482606 1010125813 2020251626 3030377439 6060754878 7070880691 9091132317 14141761382 18182264634 21212642073 27273396951 42425284146 54546793902 63637926219 127275852438 190913778657 381827557314