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5944832124 = 22371121015791
BaseRepresentation
bin1011000100101011…
…01111000001111100
3120100022020202120120
411202111233001330
544133334111444
62421522214540
7300214145040
oct54225570174
916308222516
105944832124
112580780400
12119aab4450
1373982135a
1440576c020
1524bd8bb19
hex16256f07c

5944832124 has 144 divisors (see below), whose sum is σ = 17600636928. Its totient is φ = 1528560000.

The previous prime is 5944832123. The next prime is 5944832129. The reversal of 5944832124 is 4212384495.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5944832123) 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 47 ways as a sum of consecutive naturals, for example, 1023669 + ... + 1029459.

Almost surely, 25944832124 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 5944832124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8800318464).

5944832124 is an abundant number, since it is smaller than the sum of its proper divisors (11655804804).

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

5944832124 is a wasteful number, since it uses less digits than its factorization.

5944832124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5928 (or 5915 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 5944832124 is about 77102.7374611304. The cubic root of 5944832124 is about 1811.5341757805.

The spelling of 5944832124 in words is "five billion, nine hundred forty-four million, eight hundred thirty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 101 121 132 154 202 231 242 303 308 363 404 462 484 606 707 726 847 924 1111 1212 1414 1452 1694 2121 2222 2541 2828 3333 3388 4242 4444 5082 5791 6666 7777 8484 10164 11582 12221 13332 15554 17373 23164 23331 24442 31108 34746 36663 40537 46662 48884 63701 69492 73326 81074 85547 93324 121611 127402 146652 162148 171094 191103 243222 254804 256641 342188 382206 445907 486444 513282 584891 700711 764412 891814 1026564 1169782 1337721 1401422 1754673 1783628 2102133 2339564 2675442 2802844 3509346 4094237 4204266 4904977 5350884 6433801 7018692 8188474 8408532 9809954 12282711 12867602 14714931 16376948 19301403 19619908 24565422 25735204 29429862 38602806 45036607 49130844 58859724 70771811 77205612 90073214 135109821 141543622 180146428 212315433 270219642 283087244 424630866 495402677 540439284 849261732 990805354 1486208031 1981610708 2972416062 5944832124