Search a number
-
+
10041501500500 = 2253167499240997
BaseRepresentation
bin1001001000011111100000…
…1000010100010001010100
31022112221212111121220210111
42102013320020110101110
52304004443341004000
633205000242132404
72054321524312501
oct222077010242124
938487774556714
1010041501500500
1132216388a7668
12116213a651104
1357aba9307002
1426a022cb04a8
1512630866dcba
hex921f8214454

10041501500500 has 96 divisors (see below), whose sum is σ = 22106264544000. Its totient is φ = 3984531465600.

The previous prime is 10041501500497. The next prime is 10041501500509. The reversal of 10041501500500 is 500510514001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10041501500509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41546002 + ... + 41786998.

It is an arithmetic number, because the mean of its divisors is an integer number (230273589000).

Almost surely, 210041501500500 is an apocalyptic number.

10041501500500 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 10041501500500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11053132272000).

10041501500500 is an abundant number, since it is smaller than the sum of its proper divisors (12064763043500).

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

10041501500500 is a wasteful number, since it uses less digits than its factorization.

10041501500500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241682 (or 241670 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 22.

The spelling of 10041501500500 in words is "ten trillion, forty-one billion, five hundred one million, five hundred thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 167 250 334 499 500 668 835 998 1670 1996 2495 3340 4175 4990 8350 9980 12475 16700 20875 24950 41750 49900 62375 83333 83500 124750 166666 240997 249500 333332 416665 481994 833330 963988 1204985 1666660 2083325 2409970 4166650 4819940 6024925 8333300 10416625 12049850 20833250 24099700 30124625 40246499 41666500 60249250 80492998 120257503 120498500 160985996 201232495 240515006 402464990 481030012 601287515 804929980 1006162475 1202575030 2012324950 2405150060 3006437575 4024649900 5030812375 6012875150 10061624750 12025750300 15032187875 20083003001 20123249500 30064375750 40166006002 60128751500 80332012004 100415015005 200830030010 401660060020 502075075025 1004150150050 2008300300100 2510375375125 5020750750250 10041501500500