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2069182375184 = 2419612292931663
BaseRepresentation
bin11110000111000100111…
…000010110010100010000
321022210220212200122110002
4132013010320112110100
5232400141142001214
64222322543225132
7302331160663631
oct36070470262420
97283825618402
102069182375184
11728598564271
12295030ba81a8
1312017a497852
1472212a6d888
1538c569341de
hex1e1c4e16510

2069182375184 has 160 divisors (see below), whose sum is σ = 4325256499200. Its totient is φ = 956010055680.

The previous prime is 2069182375163. The next prime is 2069182375199. The reversal of 2069182375184 is 4815732819602.

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 31 ways as a sum of consecutive naturals, for example, 1244245937 + ... + 1244247599.

It is an arithmetic number, because the mean of its divisors is an integer number (27032853120).

It is a 1-persistent number, because it is pandigital, but 2⋅2069182375184 = 4138364750368 is not.

Almost surely, 22069182375184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2069182375184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162628249600).

2069182375184 is an abundant number, since it is smaller than the sum of its proper divisors (2256074124016).

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

2069182375184 is a wasteful number, since it uses less digits than its factorization.

2069182375184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 56.

The spelling of 2069182375184 in words is "two trillion, sixty-nine billion, one hundred eighty-two million, three hundred seventy-five thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 19 38 61 76 122 152 229 244 293 304 458 488 586 916 976 1159 1172 1663 1832 2318 2344 3326 3664 4351 4636 4688 5567 6652 8702 9272 11134 13304 13969 17404 17873 18544 22268 26608 27938 31597 34808 35746 44536 55876 63194 67097 69616 71492 89072 101443 111752 126388 134194 142984 202886 223504 252776 265411 268388 285968 339587 380827 405772 487259 505552 530822 536776 679174 761654 811544 974518 1061644 1073552 1274843 1358348 1523308 1623088 1927417 1949036 2123288 2549686 2716696 3046616 3854834 3898072 4092917 4246576 5099372 5433392 6093232 7235713 7709668 7796144 8185834 9257921 10198744 14471426 15419336 16371668 18515842 20397488 23230447 28942852 29722799 30838672 32743336 37031684 46460894 57885704 59445598 65486672 74063368 77765423 92921788 111582311 115771408 118891196 148126736 155530846 185843576 223164622 237782392 311061692 371687152 441378493 446329244 475564784 564733181 622123384 882756986 892658488 1129466362 1244246768 1765513972 1785316976 2120063909 2258932724 3531027944 4240127818 4517865448 6806520971 7062055888 8480255636 9035730896 13613041942 16960511272 27226083884 33921022544 54452167768 108904335536 129323898449 258647796898 517295593796 1034591187592 2069182375184