Search a number
-
+
200452123312 = 2476728195063
BaseRepresentation
bin1011101010101111100…
…0001010101010110000
3201011101212000221002021
42322223320022222300
511241011220421222
6232030400401224
720324250635530
oct2725370125260
9634355027067
10200452123312
1178013aa8131
1232a23016214
1315b96bb046c
1499b81734c0
155332ed1ac7
hex2eabe0aab0

200452123312 has 80 divisors (see below), whose sum is σ = 452090921472. Its totient is φ = 84323796480.

The previous prime is 200452123301. The next prime is 200452123331. The reversal of 200452123312 is 213321254002.

200452123312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2061093 + ... + 2156155.

Almost surely, 2200452123312 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 200452123312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226045460736).

200452123312 is an abundant number, since it is smaller than the sum of its proper divisors (251638798160).

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

200452123312 is a wasteful number, since it uses less digits than its factorization.

200452123312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95426 (or 95420 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 200452123312 its reverse (213321254002), we get a palindrome (413773377314).

The spelling of 200452123312 in words is "two hundred billion, four hundred fifty-two million, one hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 67 112 134 268 281 469 536 562 938 1072 1124 1876 1967 2248 3752 3934 4496 7504 7868 15736 18827 31472 37654 75308 95063 131789 150616 190126 263578 301232 380252 527156 665441 760504 1054312 1330882 1521008 2108624 2661764 5323528 6369221 10647056 12738442 25476884 26712703 44584547 50953768 53425406 89169094 101907536 106850812 178338188 186988921 213701624 356676376 373977842 427403248 713352752 747955684 1495911368 1789751101 2991822736 3579502202 7159004404 12528257707 14318008808 25056515414 28636017616 50113030828 100226061656 200452123312