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10433442032 = 2413192640041
BaseRepresentation
bin10011011011110000…
…11011000011110000
3222221010100202210222
421231320123003300
5132331430121112
64443144512212
7516356536226
oct115570330360
928833322728
1010433442032
114474451472
12203217b668
13ca373a650
1470d950b16
15410e7a372
hex26de1b0f0

10433442032 has 40 divisors (see below), whose sum is σ = 22915564560. Its totient is φ = 4561989120.

The previous prime is 10433442031. The next prime is 10433442037. The reversal of 10433442032 is 23024433401.

10433442032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 10433441992 and 10433442010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10433442031) by changing a digit.

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, 1316069 + ... + 1323972.

It is an arithmetic number, because the mean of its divisors is an integer number (572889114).

Almost surely, 210433442032 is an apocalyptic number.

It is an amenable number.

10433442032 is an abundant number, since it is smaller than the sum of its proper divisors (12482122528).

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

10433442032 is a wasteful number, since it uses less digits than its factorization.

10433442032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640081 (or 2640075 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 10433442032 its reverse (23024433401), we get a palindrome (33457875433).

The spelling of 10433442032 in words is "ten billion, four hundred thirty-three million, four hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 988 1976 3952 2640041 5280082 10560164 21120328 34320533 42240656 50160779 68641066 100321558 137282132 200643116 274564264 401286232 549128528 652090127 802572464 1304180254 2608360508 5216721016 10433442032