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11240726010 = 2355367105517
BaseRepresentation
bin10100111011111111…
…11101110111111010
31002000101102001020120
422131333331313322
5141010111213020
65055223434110
7545361410643
oct123577756772
932011361216
1011240726010
114849107908
1222185b5936
1310a1a70a87
14788c546ca
1545bc90740
hex29dffddfa

11240726010 has 64 divisors (see below), whose sum is σ = 27897270912. Its totient is φ = 2897047296.

The previous prime is 11240725997. The next prime is 11240726023. The reversal of 11240726010 is 1062704211.

It is an interprime number because it is at equal distance from previous prime (11240725997) and next prime (11240726023).

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, 53772 + ... + 159288.

It is an arithmetic number, because the mean of its divisors is an integer number (435894858).

Almost surely, 211240726010 is an apocalyptic number.

11240726010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11240726010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13948635456).

11240726010 is an abundant number, since it is smaller than the sum of its proper divisors (16656544902).

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

11240726010 is a wasteful number, since it uses less digits than its factorization.

11240726010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105647.

The product of its (nonzero) digits is 672, while the sum is 24.

The spelling of 11240726010 in words is "eleven billion, two hundred forty million, seven hundred twenty-six thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 53 67 106 134 159 201 265 318 335 402 530 670 795 1005 1590 2010 3551 7102 10653 17755 21306 35510 53265 105517 106530 211034 316551 527585 633102 1055170 1582755 3165510 5592401 7069639 11184802 14139278 16777203 21208917 27962005 33554406 35348195 42417834 55924010 70696390 83886015 106044585 167772030 212089170 374690867 749381734 1124072601 1873454335 2248145202 3746908670 5620363005 11240726010