Search a number
-
+
10343331152 = 2471111374297
BaseRepresentation
bin10011010001000001…
…01011010101010000
3222200211210122220222
421220200223111100
5132140343044102
64430205252212
7514213602260
oct115040532520
928624718828
1010343331152
1144285a4870
122007b64068
13c8ab7a0bb
147019b57a0
154080caaa2
hex26882b550

10343331152 has 80 divisors (see below), whose sum is σ = 25206636672. Its totient is φ = 3994152960.

The previous prime is 10343331113. The next prime is 10343331209. The reversal of 10343331152 is 25113334301.

It is a super-3 number, since 3×103433311523 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102068 + ... + 176364.

Almost surely, 210343331152 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 10343331152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12603318336).

10343331152 is an abundant number, since it is smaller than the sum of its proper divisors (14863305520).

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

10343331152 is a wasteful number, since it uses less digits than its factorization.

10343331152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74436 (or 74430 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

Adding to 10343331152 its reverse (25113334301), we get a palindrome (35456665453).

The spelling of 10343331152 in words is "ten billion, three hundred forty-three million, three hundred thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 113 154 176 226 308 452 616 791 904 1232 1243 1582 1808 2486 3164 4972 6328 8701 9944 12656 17402 19888 34804 69608 74297 139216 148594 297188 520079 594376 817267 1040158 1188752 1634534 2080316 3269068 4160632 5720869 6538136 8321264 8395561 11441738 13076272 16791122 22883476 33582244 45766952 58768927 67164488 91533904 92351171 117537854 134328976 184702342 235075708 369404684 470151416 646458197 738809368 940302832 1292916394 1477618736 2585832788 5171665576 10343331152