Search a number
-
+
10000556500 = 22531111316091
BaseRepresentation
bin10010101000001010…
…00110000111010100
3221210221210220111111
421110011012013110
5130440120302000
64332202344404
7502552220254
oct112405060724
927727726444
1010000556500
114272065130
121b311bb104
13c34b5386c
146ac269964
153d7e6ccba
hex2541461d4

10000556500 has 96 divisors (see below), whose sum is σ = 24039130752. Its totient is φ = 3604160000.

The previous prime is 10000556473. The next prime is 10000556513. The reversal of 10000556500 is 565500001.

It is a super-2 number, since 2×100005565002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 613455 + ... + 629545.

It is an arithmetic number, because the mean of its divisors is an integer number (250407612).

Almost surely, 210000556500 is an apocalyptic number.

10000556500 is a gapful number since it is divisible by the number (10) 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 10000556500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12019565376).

10000556500 is an abundant number, since it is smaller than the sum of its proper divisors (14038574252).

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

10000556500 is a wasteful number, since it uses less digits than its factorization.

10000556500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16234 (or 16222 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The spelling of 10000556500 in words is "ten billion, five hundred fifty-six thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 113 125 220 226 250 275 452 500 550 565 1100 1130 1243 1375 2260 2486 2750 2825 4972 5500 5650 6215 11300 12430 14125 16091 24860 28250 31075 32182 56500 62150 64364 80455 124300 155375 160910 177001 310750 321820 354002 402275 621500 708004 804550 885005 1609100 1770010 1818283 2011375 3540020 3636566 4022750 4425025 7273132 8045500 8850050 9091415 17700100 18182830 20001113 22125125 36365660 40002226 44250250 45457075 80004452 88500500 90914150 100005565 181828300 200011130 227285375 400022260 454570750 500027825 909141500 1000055650 2000111300 2500139125 5000278250 10000556500