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11249105660 = 22513223194017
BaseRepresentation
bin10100111100111111…
…11011101011111100
31002000222011202221222
422132133323223330
5141014232340120
65100123212512
7545522551262
oct123637735374
932028152858
1011249105660
114852910641
12221b377138
1310a3715c50
14789dd6432
1545c898525
hex29e7fbafc

11249105660 has 48 divisors (see below), whose sum is σ = 25554498816. Its totient is φ = 4134868992.

The previous prime is 11249105653. The next prime is 11249105663. The reversal of 11249105660 is 6650194211.

It is a self number, because there is not a number n which added to its sum of digits gives 11249105660.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11249105663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39029 + ... + 154988.

It is an arithmetic number, because the mean of its divisors is an integer number (532385392).

Almost surely, 211249105660 is an apocalyptic number.

11249105660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11249105660 is an abundant number, since it is smaller than the sum of its proper divisors (14305393156).

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

11249105660 is a wasteful number, since it uses less digits than its factorization.

11249105660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194262 (or 194260 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

Adding to 11249105660 its reverse (6650194211), we get a palindrome (17899299871).

The spelling of 11249105660 in words is "eleven billion, two hundred forty-nine million, one hundred five thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 223 260 446 892 1115 2230 2899 4460 5798 11596 14495 28990 57980 194017 388034 776068 970085 1940170 2522221 3880340 5044442 10088884 12611105 25222210 43265791 50444420 86531582 173063164 216328955 432657910 562455283 865315820 1124910566 2249821132 2812276415 5624552830 11249105660