Search a number
-
+
10566140112 = 2432112606413
BaseRepresentation
bin10011101011100101…
…01000000011010000
31000021101001112100200
421311302220003100
5133114412440422
64504245015200
7522560465133
oct116562500320
930241045320
1010566140112
114532346500
12206a6b4500
13cc508c218
1472341421a
1541c93d2ac
hex275ca80d0

10566140112 has 90 divisors (see below), whose sum is σ = 32503183986. Its totient is φ = 3201855360.

The previous prime is 10566140089. The next prime is 10566140173. The reversal of 10566140112 is 21104166501.

It can be written as a sum of positive squares in only one way, i.e., 5522867856 + 5043272256 = 74316^2 + 71016^2 .

It is a super-2 number, since 2×105661401122 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 285783 + ... + 320630.

Almost surely, 210566140112 is an apocalyptic number.

10566140112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10566140112 is an abundant number, since it is smaller than the sum of its proper divisors (21937043874).

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

10566140112 is a wasteful number, since it uses less digits than its factorization.

10566140112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606449 (or 606429 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 10566140112 in words is "ten billion, five hundred sixty-six million, one hundred forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 4356 5808 8712 17424 606413 1212826 1819239 2425652 3638478 4851304 5457717 6670543 7276956 9702608 10915434 13341086 14553912 20011629 21830868 26682172 29107824 40023258 43661736 53364344 60034887 73375973 80046516 87323472 106728688 120069774 146751946 160093032 220127919 240139548 293503892 320186064 440255838 480279096 587007784 660383757 880511676 960558192 1174015568 1320767514 1761023352 2641535028 3522046704 5283070056 10566140112