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5201463142616 = 23136715713273583
BaseRepresentation
bin100101110110000111101…
…0111001110100011011000
3200102020212220120011020212
41023230033113032203120
51140210044031030431
615021304050510252
71044536051135066
oct113541727164330
920366786504225
105201463142616
111725a23384434
127000b3595388
132b965a56c3b0
1413da75cd5036
159047e35e72b
hex4bb0f5ce8d8

5201463142616 has 128 divisors (see below), whose sum is σ = 10738691604480. Its totient is φ = 2347355552256.

The previous prime is 5201463142613. The next prime is 5201463142619. The reversal of 5201463142616 is 6162413641025.

It is an interprime number because it is at equal distance from previous prime (5201463142613) and next prime (5201463142619).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5201463142613) 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 31 ways as a sum of consecutive naturals, for example, 1451704361 + ... + 1451707943.

It is an arithmetic number, because the mean of its divisors is an integer number (83896028160).

Almost surely, 25201463142616 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 5201463142616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5369345802240).

5201463142616 is an abundant number, since it is smaller than the sum of its proper divisors (5537228461864).

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

5201463142616 is a wasteful number, since it uses less digits than its factorization.

5201463142616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5153 (or 5149 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 5201463142616 in words is "five trillion, two hundred one billion, four hundred sixty-three million, one hundred forty-two thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 26 52 67 104 134 157 268 314 536 628 871 1256 1327 1742 2041 2654 3484 3583 4082 5308 6968 7166 8164 10519 10616 14332 16328 17251 21038 28664 34502 42076 46579 69004 84152 88909 93158 136747 138008 177818 186316 208339 240061 273494 355636 372632 416678 480122 546988 562531 711272 833356 960244 1093976 1125062 1155817 1666712 1920488 2250124 2311634 2708407 3120793 4500248 4623268 4754641 5416814 6241586 7312903 9246536 9509282 10833628 12483172 13958713 14625806 19018564 21667256 24966344 27917426 29251612 37689577 38037128 55834852 58503224 61810333 75379154 111669704 123620666 150758308 181463269 247241332 301516616 318560947 362926538 489964501 494482664 637121894 725853076 746478637 979929002 1274243788 1451706152 1492957274 1959858004 2548487576 2985914548 3919716008 4141292311 5971829096 8282584622 9704222281 16565169244 19408444562 33130338488 38816889124 50014068679 77633778248 100028137358 200056274716 400112549432 650182892827 1300365785654 2600731571308 5201463142616