Search a number
-
+
10094230944 = 253275007059
BaseRepresentation
bin10010110011010100…
…11011110110100000
3222001111002001200100
421121222123312200
5131133110342234
64345350222400
7505100355510
oct113152336640
928044061610
1010094230944
11430aa26126
121b58654a00
13c4b391125
146ba891840
153e12c3399
hex259a9bda0

10094230944 has 72 divisors (see below), whose sum is σ = 32806257120. Its totient is φ = 2884065408.

The previous prime is 10094230931. The next prime is 10094230963. The reversal of 10094230944 is 44903249001.

10094230944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×100942309442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10094230899 and 10094230908.

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 11 ways as a sum of consecutive naturals, for example, 2501514 + ... + 2505545.

It is an arithmetic number, because the mean of its divisors is an integer number (455642460).

Almost surely, 210094230944 is an apocalyptic number.

10094230944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10094230944 is an abundant number, since it is smaller than the sum of its proper divisors (22712026176).

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

10094230944 is a wasteful number, since it uses less digits than its factorization.

10094230944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5007082 (or 5007071 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 10094230944 its reverse (44903249001), we get a palindrome (54997479945).

The spelling of 10094230944 in words is "ten billion, ninety-four million, two hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 5007059 10014118 15021177 20028236 30042354 35049413 40056472 45063531 60084708 70098826 80112944 90127062 105148239 120169416 140197652 160225888 180254124 210296478 240338832 280395304 315444717 360508248 420592956 480677664 560790608 630889434 721016496 841185912 1121581216 1261778868 1442032992 1682371824 2523557736 3364743648 5047115472 10094230944