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10714105170 = 2335371139491
BaseRepresentation
bin10011111101001110…
…00100010101010010
31000122200110221021000
421332213010111102
5133420302331140
64531052242430
7526335251136
oct117647042522
930580427230
1010714105170
1145a891887a
1220b0170416
131019927b02
14738d2d3c6
1542a919a30
hex27e9c4552

10714105170 has 128 divisors (see below), whose sum is σ = 29605927680. Its totient is φ = 2754984960.

The previous prime is 10714105159. The next prime is 10714105219. The reversal of 10714105170 is 7150141701.

10714105170 is a `hidden beast` number, since 1 + 0 + 7 + 141 + 0 + 517 + 0 = 666.

10714105170 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107141051702 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 1124125 + ... + 1133615.

It is an arithmetic number, because the mean of its divisors is an integer number (231296310).

Almost surely, 210714105170 is an apocalyptic number.

10714105170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10714105170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14802963840).

10714105170 is an abundant number, since it is smaller than the sum of its proper divisors (18891822510).

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

10714105170 is a wasteful number, since it uses less digits than its factorization.

10714105170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9657 (or 9651 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 27.

Adding to 10714105170 its reverse (7150141701), we get a palindrome (17864246871).

The spelling of 10714105170 in words is "ten billion, seven hundred fourteen million, one hundred five thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 113 135 185 222 226 270 333 339 370 555 565 666 678 999 1017 1110 1130 1665 1695 1998 2034 3051 3330 3390 4181 4995 5085 6102 8362 9491 9990 10170 12543 15255 18982 20905 25086 28473 30510 37629 41810 47455 56946 62715 75258 85419 94910 112887 125430 142365 170838 188145 225774 256257 284730 351167 376290 427095 512514 564435 702334 854190 1053501 1072483 1128870 1281285 1755835 2107002 2144966 2562570 3160503 3217449 3511670 5267505 5362415 6321006 6434898 9481509 9652347 10535010 10724830 15802515 16087245 18963018 19304694 28957041 31605030 32174490 39681871 47407545 48261735 57914082 79363742 94815090 96523470 119045613 144785205 198409355 238091226 289570410 357136839 396818710 595228065 714273678 1071410517 1190456130 1785684195 2142821034 3571368390 5357052585 10714105170