Search a number
-
+
10432404112 = 2413397126337
BaseRepresentation
bin10011011011101000…
…11101101010010000
3222221001102001001111
421231310131222100
5132331143412422
64443110343104
7516344654224
oct115564355220
928831361044
1010432404112
114473902689
12203195aa94
13ca34660b0
1470d760784
15410d22a77
hex26dd1da90

10432404112 has 40 divisors (see below), whose sum is σ = 21822615416. Its totient is φ = 4802789376.

The previous prime is 10432404109. The next prime is 10432404137. The reversal of 10432404112 is 21140423401.

It is a happy number.

10432404112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2564004496 + 7868399616 = 50636^2 + 88704^2 .

It is a super-3 number, since 3×104324041123 (a number of 31 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 19408 + ... + 145744.

Almost surely, 210432404112 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 10432404112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10911307708).

10432404112 is an abundant number, since it is smaller than the sum of its proper divisors (11390211304).

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

10432404112 is a wasteful number, since it uses less digits than its factorization.

10432404112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126755 (or 126749 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10432404112 its reverse (21140423401), we get a palindrome (31572827513).

The spelling of 10432404112 in words is "ten billion, four hundred thirty-two million, four hundred four thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 208 397 794 1588 3176 5161 6352 10322 20644 41288 82576 126337 252674 505348 1010696 1642381 2021392 3284762 6569524 13139048 26278096 50155789 100311578 200623156 401246312 652025257 802492624 1304050514 2608101028 5216202056 10432404112