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5148216368080 = 245414283366467
BaseRepresentation
bin100101011101010100110…
…0110111001101111010000
3200020011110001100202021021
41022322221212321233100
51133322021342234310
614541020303405224
71040642413050262
oct112725146715720
920204401322237
105148216368080
111705389a20645
126b19132b3814
132b4622c64906
1413b2642c1b32
158ddb492c5da
hex4aea99b9bd0

5148216368080 has 80 divisors (see below), whose sum is σ = 12264440900544. Its totient is φ = 2008585487360.

The previous prime is 5148216368069. The next prime is 5148216368081. The reversal of 5148216368080 is 808636128415.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5148216368081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13865007 + ... + 14231473.

Almost surely, 25148216368080 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 5148216368080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132220450272).

5148216368080 is an abundant number, since it is smaller than the sum of its proper divisors (7116224532464).

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

5148216368080 is a wasteful number, since it uses less digits than its factorization.

5148216368080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370804 (or 370798 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 52.

The spelling of 5148216368080 in words is "five trillion, one hundred forty-eight billion, two hundred sixteen million, three hundred sixty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 4283 8566 17132 21415 34264 42830 68528 85660 171320 175603 342640 351206 366467 702412 732934 878015 1404824 1465868 1756030 1832335 2809648 2931736 3512060 3664670 5863472 7024120 7329340 14048240 14658680 15025147 29317360 30050294 60100588 75125735 120201176 150251470 240402352 300502940 601005880 1202011760 1569578161 3139156322 6278312644 7847890805 12556625288 15695781610 25113250576 31391563220 62783126440 64352704601 125566252880 128705409202 257410818404 321763523005 514821636808 643527046010 1029643273616 1287054092020 2574108184040 5148216368080