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23564257638440 = 235589106440961
BaseRepresentation
bin1010101101110011110110…
…01101001011100000101000
310002102201110122000202001012
411112321323031023200220
511042034044423412230
6122041134233043052
74651314162044201
oct526717315134050
9102381418022035
1023564257638440
117565600133022
122786ab2256488
13101c13b7c866c
145b67324885a8
152ace61628395
hex156e7b34b828

23564257638440 has 16 divisors (see below), whose sum is σ = 53019579686580. Its totient is φ = 9425703055360.

The previous prime is 23564257638319. The next prime is 23564257638443. The reversal of 23564257638440 is 4483675246532.

It can be written as a sum of positive squares in 2 ways, for example, as 22311017690116 + 1253239948324 = 4723454^2 + 1119482^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23564257638440.

It is not an unprimeable number, because it can be changed into a prime (23564257638443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 294553220441 + ... + 294553220520.

Almost surely, 223564257638440 is an apocalyptic number.

23564257638440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23564257638440 is an abundant number, since it is smaller than the sum of its proper divisors (29455322048140).

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

23564257638440 is a wasteful number, since it uses less digits than its factorization.

23564257638440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589106440972 (or 589106440968 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 59.

The spelling of 23564257638440 in words is "twenty-three trillion, five hundred sixty-four billion, two hundred fifty-seven million, six hundred thirty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 589106440961 1178212881922 2356425763844 2945532204805 4712851527688 5891064409610 11782128819220 23564257638440