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10312432336 = 243794633673
BaseRepresentation
bin10011001101010101…
…10011101011010000
3222121200122211201101
421212222303223100
5132104440313321
64423143114144
7513360141253
oct114652635320
928550584641
1010312432336
114412110058
121bb9742954
13c8464bc8b
146db85109a
15405525791
hex266ab3ad0

10312432336 has 40 divisors (see below), whose sum is σ = 20081790080. Its totient is φ = 5130107136.

The previous prime is 10312432331. The next prime is 10312432337. The reversal of 10312432336 is 63323421301.

10312432336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312432331) 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, 2805796 + ... + 2809468.

It is an arithmetic number, because the mean of its divisors is an integer number (502044752).

Almost surely, 210312432336 is an apocalyptic number.

10312432336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10312432336 is a deficient number, since it is larger than the sum of its proper divisors (9769357744).

10312432336 is a wasteful number, since it uses less digits than its factorization.

10312432336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4523 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 10312432336 its reverse (63323421301), we get a palindrome (73635853637).

It can be divided in two parts, 103124 and 32336, that added together give a triangular number (135460 = T520).

The spelling of 10312432336 in words is "ten billion, three hundred twelve million, four hundred thirty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 379 463 758 926 1516 1852 3032 3673 3704 6064 7346 7408 14692 29384 58768 175477 350954 701908 1392067 1403816 1700599 2784134 2807632 3401198 5568268 6802396 11136536 13604792 22273072 27209584 644527021 1289054042 2578108084 5156216168 10312432336