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5208329066976 = 253272879897359
BaseRepresentation
bin100101111001010100010…
…0110101001100111100000
3200102220121102000020211200
41023302220212221213200
51140313124220120401
615024401235241200
71045201151420220
oct113625046514740
920386542006750
105208329066976
111728926a82a92
127014aaa49200
132ba1b2b60729
14140127b10080
1590731ee2686
hex4bca89a99e0

5208329066976 has 144 divisors (see below), whose sum is σ = 16932967833600. Its totient is φ = 1487575482624.

The previous prime is 5208329066971. The next prime is 5208329066989. The reversal of 5208329066976 is 6796609238025.

5208329066976 is a `hidden beast` number, since 520 + 8 + 32 + 9 + 0 + 6 + 6 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5208329066971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5355385 + ... + 6252743.

It is an arithmetic number, because the mean of its divisors is an integer number (117590054400).

Almost surely, 25208329066976 is an apocalyptic number.

5208329066976 is a gapful number since it is divisible by the number (56) 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 5208329066976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8466483916800).

5208329066976 is an abundant number, since it is smaller than the sum of its proper divisors (11724638766624).

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

5208329066976 is a wasteful number, since it uses less digits than its factorization.

5208329066976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900261 (or 900250 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 5208329066976 in words is "five trillion, two hundred eight billion, three hundred twenty-nine million, sixty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 2879 5758 8637 11516 17274 20153 23032 25911 34548 40306 46064 51822 60459 69096 80612 92128 103644 120918 138192 161224 181377 207288 241836 276384 322448 362754 414576 483672 644896 725508 829152 897359 967344 1451016 1794718 1934688 2692077 2902032 3589436 5384154 5804064 6281513 7178872 8076231 10768308 12563026 14357744 16152462 18844539 21536616 25126052 28715488 32304924 37689078 43073232 50252104 56533617 64609848 75378156 86146464 100504208 113067234 129219696 150756312 201008416 226134468 258439392 301512624 452268936 603025248 904537872 1809075744 2583496561 5166993122 7750489683 10333986244 15500979366 18084475927 20667972488 23251469049 31001958732 36168951854 41335944976 46502938098 54253427781 62003917464 72337903708 82671889952 93005876196 108506855562 124007834928 144675807416 162760283343 186011752392 217013711124 248015669856 289351614832 325520566686 372023504784 434027422248 578703229664 651041133372 744047009568 868054844496 1302082266744 1736109688992 2604164533488 5208329066976