Search a number
-
+
10704705999912 = 2332375375816661
BaseRepresentation
bin1001101111000110001000…
…1100101101010000101000
31101220100201100220012211100
42123301202030231100220
52400341214213444122
634433401332201400
72153250410455221
oct233614214552050
941810640805740
1010704705999912
113457927514041
12124a788469260
135c85ac5771a2
14290179444248
151386c222aaac
hex9bc6232d428

10704705999912 has 96 divisors (see below), whose sum is σ = 30337279132680. Its totient is φ = 3406290900480.

The previous prime is 10704705999907. The next prime is 10704705999941. The reversal of 10704705999912 is 21999950740701.

It is a happy number.

10704705999912 is a `hidden beast` number, since 1 + 0 + 70 + 470 + 5 + 9 + 9 + 9 + 91 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10241753675076 + 462952324836 = 3200274^2 + 680406^2 .

It is a super-2 number, since 2×107047059999122 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10704705999912.

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 23 ways as a sum of consecutive naturals, for example, 37767139 + ... + 38049522.

Almost surely, 210704705999912 is an apocalyptic number.

10704705999912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10704705999912 is an abundant number, since it is smaller than the sum of its proper divisors (19632573132768).

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

10704705999912 is a wasteful number, since it uses less digits than its factorization.

10704705999912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75816763 (or 75816756 counting only the distinct ones).

The product of its (nonzero) digits is 12859560, while the sum is 63.

The spelling of 10704705999912 in words is "ten trillion, seven hundred four billion, seven hundred five million, nine hundred ninety-nine thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 53 72 74 106 111 148 159 212 222 296 318 333 424 444 477 636 666 888 954 1272 1332 1908 1961 2664 3816 3922 5883 7844 11766 15688 17649 23532 35298 47064 70596 141192 75816661 151633322 227449983 303266644 454899966 606533288 682349949 909799932 1364699898 1819599864 2729399796 2805216457 4018283033 5458799592 5610432914 8036566066 8415649371 11220865828 12054849099 16073132132 16831298742 22441731656 24109698198 25246948113 32146264264 33662597484 36164547297 48219396396 50493896226 67325194968 72329094594 96438792792 100987792452 144658189188 148676472221 201975584904 289316378376 297352944442 446029416663 594705888884 892058833326 1189411777768 1338088249989 1784117666652 2676176499978 3568235333304 5352352999956 10704705999912