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45131619768 = 23313943930817
BaseRepresentation
bin101010000010000011…
…011101110110111000
311022111022002211102220
4222002003131312320
51214412143313033
632422211124040
73155255303244
oct520203356670
9138438084386
1045131619768
111815a693a14
1288b65a3620
134343275c71
142281d31424
15129228bbb3
hexa820dddb8

45131619768 has 64 divisors (see below), whose sum is σ = 113903328000. Its totient is φ = 14901138432.

The previous prime is 45131619727. The next prime is 45131619769. The reversal of 45131619768 is 86791613154.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 45131619768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45131619769) 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 15 ways as a sum of consecutive naturals, for example, 1449096 + ... + 1479912.

It is an arithmetic number, because the mean of its divisors is an integer number (1779739500).

Almost surely, 245131619768 is an apocalyptic number.

It is an amenable number.

45131619768 is an abundant number, since it is smaller than the sum of its proper divisors (68771708232).

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

45131619768 is a wasteful number, since it uses less digits than its factorization.

45131619768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31404 (or 31400 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The spelling of 45131619768 in words is "forty-five billion, one hundred thirty-one million, six hundred nineteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 139 278 417 439 556 834 878 1112 1317 1668 1756 2634 3336 3512 5268 10536 30817 61021 61634 92451 122042 123268 183063 184902 244084 246536 366126 369804 488168 732252 739608 1464504 4283563 8567126 12850689 13528663 17134252 25701378 27057326 34268504 40585989 51402756 54114652 81171978 102805512 108229304 162343956 324687912 1880484157 3760968314 5641452471 7521936628 11282904942 15043873256 22565809884 45131619768