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5107134246340 = 2257293517357667
BaseRepresentation
bin100101001010001100011…
…1011000010110111000100
3200002020101222002201210211
41022110120323002313010
51132133402331340330
614510103551125204
71034656355554510
oct112243073026704
920066358081724
105107134246340
111699a18159515
126a5968b13804
132b07a6951139
1413928810b140
158ccace41d2a
hex4a518ec2dc4

5107134246340 has 96 divisors (see below), whose sum is σ = 12683422321920. Its totient is φ = 1690152113664.

The previous prime is 5107134246287. The next prime is 5107134246349. The reversal of 5107134246340 is 436424317015.

It is a junction number, because it is equal to n+sod(n) for n = 5107134246293 and 5107134246302.

It is not an unprimeable number, because it can be changed into a prime (5107134246349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14100187 + ... + 14457853.

It is an arithmetic number, because the mean of its divisors is an integer number (132118982520).

Almost surely, 25107134246340 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 5107134246340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6341711160960).

5107134246340 is an abundant number, since it is smaller than the sum of its proper divisors (7576288075580).

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

5107134246340 is a wasteful number, since it uses less digits than its factorization.

5107134246340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361229 (or 361227 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 5107134246340 in words is "five trillion, one hundred seven billion, one hundred thirty-four million, two hundred forty-six thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 3517 4060 7034 14068 17585 24619 35170 49238 70340 98476 101993 123095 203986 246190 357667 407972 492380 509965 713951 715334 1019930 1427902 1430668 1788335 2039860 2503669 2855804 3569755 3576670 5007338 7139510 7153340 10014676 10372343 12518345 14279020 20744686 25036690 41489372 50073380 51861715 72606401 103723430 145212802 207446860 290425604 363032005 726064010 1257914839 1452128020 2515829678 5031659356 6289574195 8805403873 12579148390 17610807746 25158296780 35221615492 36479530331 44027019365 72959060662 88054038730 145918121324 176108077460 182397651655 255356712317 364795303310 510713424634 729590606620 1021426849268 1276783561585 2553567123170 5107134246340