Search a number
-
+
5000061100 = 2252298320773
BaseRepresentation
bin1001010100000011…
…01110000010101100
3110220110111102101011
410222001232002230
540220003423400
62144052355004
7234622550416
oct45201560254
913813442334
105000061100
112136449a01
12b76615a64
13618b80648
143560b99b6
151e3e698ba
hex12a06e0ac

5000061100 has 72 divisors (see below), whose sum is σ = 11360054160. Its totient is φ = 1907700480.

The previous prime is 5000061067. The next prime is 5000061167. The reversal of 5000061100 is 11600005.

It is a super-2 number, since 2×50000611002 = 50001222007466420000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230314 + ... + 251086.

It is an arithmetic number, because the mean of its divisors is an integer number (157778530).

Almost surely, 25000061100 is an apocalyptic number.

5000061100 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 5000061100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5680027080).

5000061100 is an abundant number, since it is smaller than the sum of its proper divisors (6359993060).

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

5000061100 is a wasteful number, since it uses less digits than its factorization.

5000061100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20899 (or 20892 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 5000061100 is about 70711.1101595782. The cubic root of 5000061100 is about 1709.9829119503.

Adding to 5000061100 its reverse (11600005), we get a palindrome (5011661105).

The spelling of 5000061100 in words is "five billion, sixty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 83 100 116 145 166 290 332 415 580 725 830 1450 1660 2075 2407 2900 4150 4814 8300 9628 12035 20773 24070 41546 48140 60175 83092 103865 120350 207730 240700 415460 519325 602417 1038650 1204834 1724159 2077300 2409668 3012085 3448318 6024170 6896636 8620795 12048340 15060425 17241590 30120850 34483180 43103975 50000611 60241700 86207950 100001222 172415900 200002444 250003055 500006110 1000012220 1250015275 2500030550 5000061100