Search a number
-
+
832252703040 = 2632511471673347
BaseRepresentation
bin11000001110001100010…
…00000111000101000000
32221120012010021210222200
430013012020013011000
5102113423142444130
61434155343433200
7114061666153143
oct14070610070500
92846163253880
10832252703040
112a0a57a54980
121153678b5800
1360633c66945
142c3d1a4a05a
15169aea98760
hexc1c6207140

832252703040 has 672 divisors, whose sum is σ = 3209338589184. Its totient is φ = 196224430080.

The previous prime is 832252703033. The next prime is 832252703041. The reversal of 832252703040 is 40307252238.

832252703040 is a `hidden beast` number, since 8 + 32 + 252 + 70 + 304 + 0 = 666.

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 = 832252702986 and 832252703004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (832252703041) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 248654647 + ... + 248657993.

It is an arithmetic number, because the mean of its divisors is an integer number (4775801472).

Almost surely, 2832252703040 is an apocalyptic number.

832252703040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 832252703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604669294592).

832252703040 is an abundant number, since it is smaller than the sum of its proper divisors (2377085886144).

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

832252703040 is a wasteful number, since it uses less digits than its factorization.

832252703040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3595 (or 3582 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 832252703040 its reverse (40307252238), we get a palindrome (872559955278).

The spelling of 832252703040 in words is "eight hundred thirty-two billion, two hundred fifty-two million, seven hundred three thousand, forty".