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11245406010 = 2354367312953
BaseRepresentation
bin10100111100100011…
…10100011100111010
31002000201012210222220
422132101310130322
5141012310443020
65055512024510
7545446242156
oct123621643472
932021183886
1011245406010
114850813a83
12221a092136
1310a2a1bcc7
14789712066
1545c3b7240
hex29e47473a

11245406010 has 64 divisors (see below), whose sum is σ = 27659795328. Its totient is φ = 2924457984.

The previous prime is 11245405999. The next prime is 11245406017. The reversal of 11245406010 is 1060454211.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11245406017) 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, 861694 + ... + 874646.

It is an arithmetic number, because the mean of its divisors is an integer number (432184302).

Almost surely, 211245406010 is an apocalyptic number.

11245406010 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 11245406010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13829897664).

11245406010 is an abundant number, since it is smaller than the sum of its proper divisors (16414389318).

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

11245406010 is a wasteful number, since it uses less digits than its factorization.

11245406010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13679.

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 11245406010 in words is "eleven billion, two hundred forty-five million, four hundred six thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 673 1290 1346 2019 3365 4038 6730 10095 12953 20190 25906 28939 38859 57878 64765 77718 86817 129530 144695 173634 194295 289390 388590 434085 556979 868170 1113958 1670937 2784895 3341874 5569790 8354685 8717369 16709370 17434738 26152107 43586845 52304214 87173690 130760535 261521070 374846867 749693734 1124540601 1874234335 2249081202 3748468670 5622703005 11245406010