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5137869750 = 2353134331217
BaseRepresentation
bin1001100100011110…
…11010101110110110
3111021001210211022020
410302033122232312
541010243313000
62205454214010
7241215113046
oct46217325666
914231724266
105137869750
1121a7214652
12bb47b4306
1363b5a1420
1436a50d726
152010dbba0
hex1323dabb6

5137869750 has 128 divisors (see below), whose sum is σ = 13853863296. Its totient is φ = 1260748800.

The previous prime is 5137869731. The next prime is 5137869787. The reversal of 5137869750 is 579687315.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5137869693 and 5137869702.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4221142 + ... + 4222358.

It is an arithmetic number, because the mean of its divisors is an integer number (108233307).

Almost surely, 25137869750 is an apocalyptic number.

5137869750 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5137869750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926931648).

5137869750 is an abundant number, since it is smaller than the sum of its proper divisors (8715993546).

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

5137869750 is a wasteful number, since it uses less digits than its factorization.

5137869750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 51.

The square root of 5137869750 is about 71678.9351901938. The cubic root of 5137869750 is about 1725.5505908876.

The spelling of 5137869750 in words is "five billion, one hundred thirty-seven million, eight hundred sixty-nine thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 125 130 150 195 250 325 375 390 433 650 750 866 975 1217 1299 1625 1950 2165 2434 2598 3250 3651 4330 4875 5629 6085 6495 7302 9750 10825 11258 12170 12990 15821 16887 18255 21650 28145 30425 31642 32475 33774 36510 47463 54125 56290 60850 64950 79105 84435 91275 94926 108250 140725 152125 158210 162375 168870 182550 237315 281450 304250 324750 395525 422175 456375 474630 526961 703625 791050 844350 912750 1053922 1186575 1407250 1580883 1977625 2110875 2373150 2634805 3161766 3955250 4221750 5269610 5932875 6850493 7904415 11865750 13174025 13700986 15808830 20551479 26348050 34252465 39522075 41102958 65870125 68504930 79044150 102757395 131740250 171262325 197610375 205514790 342524650 395220750 513786975 856311625 1027573950 1712623250 2568934875 5137869750