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11564153140 = 225578207657
BaseRepresentation
bin10101100010100011…
…01111100100110100
31002211220222211212011
422301101233210310
5142140410400030
65151255534004
7556366452121
oct126121574464
932756884764
1011564153140
1149a4732461
1222a898a304
131123a81b87
147b9ba5748
1547a37ab2a
hex2b146f934

11564153140 has 12 divisors (see below), whose sum is σ = 24284721636. Its totient is φ = 4625661248.

The previous prime is 11564153137. The next prime is 11564153171. The reversal of 11564153140 is 4135146511.

11564153140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4392773284 + 7171379856 = 66278^2 + 84684^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 289103809 + ... + 289103848.

It is an arithmetic number, because the mean of its divisors is an integer number (2023726803).

Almost surely, 211564153140 is an apocalyptic number.

11564153140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11564153140 is an abundant number, since it is smaller than the sum of its proper divisors (12720568496).

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

11564153140 is a wasteful number, since it uses less digits than its factorization.

11564153140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578207666 (or 578207664 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

Adding to 11564153140 its reverse (4135146511), we get a palindrome (15699299651).

The spelling of 11564153140 in words is "eleven billion, five hundred sixty-four million, one hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 578207657 1156415314 2312830628 2891038285 5782076570 11564153140