Search a number
-
+
10646142052 = 227131091511777
BaseRepresentation
bin10011110101000111…
…10011110001100100
31000110221121001101111
421322203303301210
5133300403021202
64520223434404
7524551500010
oct117243636144
930427531344
1010646142052
114573519107
122091455a04
131008820450
1472dcbb540
154249926d7
hex27a8f3c64

10646142052 has 96 divisors (see below), whose sum is σ = 23306877440. Its totient is φ = 4143052800.

The previous prime is 10646142037. The next prime is 10646142061. The reversal of 10646142052 is 25024164601.

It is a happy number.

It is a super-2 number, since 2×106461420522 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5990188 + ... + 5991964.

Almost surely, 210646142052 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 10646142052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11653438720).

10646142052 is an abundant number, since it is smaller than the sum of its proper divisors (12660735388).

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

10646142052 is a wasteful number, since it uses less digits than its factorization.

10646142052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 10646142052 in words is "ten billion, six hundred forty-six million, one hundred forty-two thousand, fifty-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 109 151 182 218 302 364 436 604 763 1057 1417 1526 1777 1963 2114 2834 3052 3554 3926 4228 5668 7108 7852 9919 12439 13741 16459 19838 23101 24878 27482 32918 39676 46202 49756 54964 65836 92404 115213 161707 193693 213967 230426 268327 323414 387386 427934 460852 536654 646828 774772 855868 1073308 1355851 1497769 1878289 2518009 2711702 2995538 3488251 3756578 5036018 5423404 5991076 6976502 7513156 10072036 13953004 17626063 24417757 29247643 35252126 48835514 58495286 70504252 97671028 116990572 204733501 380219359 409467002 760438718 818934004 1520877436 2661535513 5323071026 10646142052