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5107382070 = 2357238591231
BaseRepresentation
bin1001100000110110…
…00111011100110110
3111011221102220001220
410300123013130312
540424442211240
62202444531210
7240365013510
oct46033073466
914157386056
105107382070
112190a9081a
12ba6550b06
1363518848b
14366454bb0
151ed5b85d0
hex1306c7736

5107382070 has 128 divisors (see below), whose sum is σ = 14646804480. Its totient is φ = 1114439040.

The previous prime is 5107382053. The next prime is 5107382143. The reversal of 5107382070 is 702837015.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4148355 + ... + 4149585.

It is an arithmetic number, because the mean of its divisors is an integer number (114428160).

Almost surely, 25107382070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5107382070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7323402240).

5107382070 is an abundant number, since it is smaller than the sum of its proper divisors (9539422410).

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

5107382070 is a wasteful number, since it uses less digits than its factorization.

5107382070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130.

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 5107382070 is about 71465.9504239606. The cubic root of 5107382070 is about 1722.1307276371.

The spelling of 5107382070 in words is "five billion, one hundred seven million, three hundred eighty-two thousand, seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 210 230 322 345 483 690 805 859 966 1231 1610 1718 2415 2462 2577 3693 4295 4830 5154 6013 6155 7386 8590 8617 12026 12310 12885 17234 18039 18465 19757 25770 25851 28313 30065 36078 36930 39514 43085 51702 56626 59271 60130 84939 86170 90195 98785 118542 129255 138299 141565 169878 180390 197570 198191 258510 276598 283130 296355 396382 414897 424695 592710 594573 691495 829794 849390 990955 1057429 1189146 1382990 1981910 2074485 2114858 2972865 3172287 4148970 5287145 5945730 6344574 7402003 10574290 14804006 15861435 22206009 24320867 31722870 37010015 44412018 48641734 72962601 74020030 111030045 121604335 145925202 170246069 222060090 243208670 340492138 364813005 510738207 729626010 851230345 1021476414 1702460690 2553691035 5107382070