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133387109284 = 2211213212772
BaseRepresentation
bin111110000111001111…
…1011100001110100100
3110202021222101020001211
41330032133130032210
54141134044444114
6141135512401204
712431312502352
oct1741637341644
9422258336054
10133387109284
1151629600500
1221a270a6204
13c769836100
14665527c7d2
15370a3c16c4
hex1f0e7dc3a4

133387109284 has 81 divisors (see below), whose sum is σ = 278049928611. Its totient is φ = 55922792640.

The previous prime is 133387109263. The next prime is 133387109309. The reversal of 133387109284 is 482901783331.

The square root of 133387109284 is 365222.

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

133387109284 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6992638884 + 126394470400 = 83622^2 + 355520^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 104452854 + ... + 104454130.

Almost surely, 2133387109284 is an apocalyptic number.

133387109284 is the 365222-nd square number.

It is an amenable number.

133387109284 is an abundant number, since it is smaller than the sum of its proper divisors (144662819327).

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

133387109284 is a wasteful number, since it uses less digits than its factorization.

133387109284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

Multiplying 133387109284 by its sum of digits (49), we get a square (6535968354916 = 25565542).

The spelling of 133387109284 in words is "one hundred thirty-three billion, three hundred eighty-seven million, one hundred nine thousand, two hundred eighty-four".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 169 242 286 338 484 572 676 1277 1573 1859 2554 3146 3718 5108 6292 7436 14047 16601 20449 28094 33202 40898 56188 66404 81796 154517 182611 215813 309034 365222 431626 618068 730444 863252 1630729 2008721 2373943 3261458 4017442 4747886 6522916 8034884 9495772 17938019 21199477 26113373 35876038 42398954 52226746 71752076 84797908 104453492 197318209 233194247 275593201 394636418 466388494 551186402 789272836 932776988 1102372804 2565136717 3031525211 5130273434 6063050422 10260546868 12126100844 33346777321 66693554642 133387109284