Search a number
-
+
5050137000 = 233532297351
BaseRepresentation
bin1001011010000001…
…01111100110101000
3111000221201112121010
410231000233212220
540320313341000
62153041543520
7236101312326
oct45500574650
914027645533
105050137000
112161741747
12b8b344ba0
1362636445c
1435c9d2d16
151e855bd50
hex12d02f9a8

5050137000 has 128 divisors (see below), whose sum is σ = 15827385600. Its totient is φ = 1340640000.

The previous prime is 5050136989. The next prime is 5050137049. The reversal of 5050137000 is 7310505.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 683325 + ... + 690675.

It is an arithmetic number, because the mean of its divisors is an integer number (123651450).

Almost surely, 25050137000 is an apocalyptic number.

5050137000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5050137000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7913692800).

5050137000 is an abundant number, since it is smaller than the sum of its proper divisors (10777248600).

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

5050137000 is a wasteful number, since it uses less digits than its factorization.

5050137000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7604 (or 7590 counting only the distinct ones).

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 5050137000 is about 71064.3159398583. The cubic root of 5050137000 is about 1715.6724860032.

Adding to 5050137000 its reverse (7310505), we get a palindrome (5057447505).

The spelling of 5050137000 in words is "five billion, fifty million, one hundred thirty-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 229 250 300 375 458 500 600 687 750 916 1000 1145 1374 1500 1832 2290 2748 3000 3435 4580 5496 5725 6870 7351 9160 11450 13740 14702 17175 22053 22900 27480 28625 29404 34350 36755 44106 45800 57250 58808 68700 73510 85875 88212 110265 114500 137400 147020 171750 176424 183775 220530 229000 294040 343500 367550 441060 551325 687000 735100 882120 918875 1102650 1470200 1683379 1837750 2205300 2756625 3366758 3675500 4410600 5050137 5513250 6733516 7351000 8416895 10100274 11026500 13467032 16833790 20200548 22053000 25250685 33667580 40401096 42084475 50501370 67335160 84168950 101002740 126253425 168337900 202005480 210422375 252506850 336675800 420844750 505013700 631267125 841689500 1010027400 1262534250 1683379000 2525068500 5050137000