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5103505350 = 23252109104047
BaseRepresentation
bin1001100000011000…
…10100111111000110
3111011200010221012200
410300030110333012
540422444132400
62202225455330
7240320036226
oct46014247706
914150127180
105103505350
112189883119
12ba51a1546
1363442ba68
14365b26086
151ed09eb00
hex130314fc6

5103505350 has 72 divisors (see below), whose sum is σ = 13837343520. Its totient is φ = 1348436160.

The previous prime is 5103505343. The next prime is 5103505361. The reversal of 5103505350 is 535053015.

5103505350 is a `hidden beast` number, since 5 + 103 + 505 + 3 + 50 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2974 + ... + 101073.

Almost surely, 25103505350 is an apocalyptic number.

5103505350 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 5103505350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6918671760).

5103505350 is an abundant number, since it is smaller than the sum of its proper divisors (8733838170).

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

5103505350 is a wasteful number, since it uses less digits than its factorization.

5103505350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104174 (or 104166 counting only the distinct ones).

The product of its (nonzero) digits is 5625, while the sum is 27.

The square root of 5103505350 is about 71438.8224287047. The cubic root of 5103505350 is about 1721.6948938816.

Adding to 5103505350 its reverse (535053015), we get a palindrome (5638558365).

The spelling of 5103505350 in words is "five billion, one hundred three million, five hundred five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 109 150 218 225 327 450 545 654 981 1090 1635 1962 2725 3270 4905 5450 8175 9810 16350 24525 49050 104047 208094 312141 520235 624282 936423 1040470 1560705 1872846 2601175 3121410 4682115 5202350 7803525 9364230 11341123 15607050 22682246 23410575 34023369 46821150 56705615 68046738 102070107 113411230 170116845 204140214 283528075 340233690 510350535 567056150 850584225 1020701070 1701168450 2551752675 5103505350