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1944312325728 = 253179810113967
BaseRepresentation
bin11100010010110010000…
…010111010011001100000
320212212121110122220000120
4130102302002322121200
5223323422423410403
64045112120520240
7260320605040413
oct34226202723140
96785543586016
101944312325728
1168a63a68a993
122749a2320080
1311146a350a16
146a168a11b7a
1535899145e53
hex1c4b20ba660

1944312325728 has 96 divisors (see below), whose sum is σ = 5133333864960. Its totient is φ = 644357721600.

The previous prime is 1944312325693. The next prime is 1944312325729. The reversal of 1944312325728 is 8275232134491.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1944312325729) 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, 139200601 + ... + 139214567.

It is an arithmetic number, because the mean of its divisors is an integer number (53472227760).

Almost surely, 21944312325728 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 1944312325728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566666932480).

1944312325728 is an abundant number, since it is smaller than the sum of its proper divisors (3189021539232).

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

1944312325728 is a wasteful number, since it uses less digits than its factorization.

1944312325728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22260 (or 22252 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The spelling of 1944312325728 in words is "one trillion, nine hundred forty-four billion, three hundred twelve million, three hundred twenty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 179 358 537 716 1074 1432 2148 2864 4296 5728 8101 8592 13967 16202 17184 24303 27934 32404 41901 48606 55868 64808 83802 97212 111736 129616 167604 194424 223472 259232 335208 388848 446944 670416 777696 1340832 1450079 2500093 2900158 4350237 5000186 5800316 7500279 8700474 10000372 11600632 15000558 17400948 20000744 23201264 30001116 34801896 40001488 46402528 60002232 69603792 80002976 113146667 120004464 139207584 226293334 240008928 339440001 452586668 678880002 905173336 1357760004 1810346672 2715520008 3620693344 5431040016 10862080032 20253253393 40506506786 60759760179 81013013572 121519520358 162026027144 243039040716 324052054288 486078081432 648104108576 972156162864 1944312325728