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5661300128 = 251126361153
BaseRepresentation
bin1010100010111000…
…01001010110100000
3112121112201211210112
411101130021112200
543043243101003
62333433150452
7260202154121
oct52134112640
915545654715
105661300128
112445724640
12111bb5b428
136c2b6b143
143b9c44048
152320323d8
hex1517095a0

5661300128 has 48 divisors (see below), whose sum is σ = 12205359936. Its totient is φ = 2563491840.

The previous prime is 5661300121. The next prime is 5661300179. The reversal of 5661300128 is 8210031665.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 5661300094 and 5661300103.

It is not an unprimeable number, because it can be changed into a prime (5661300121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62000 + ... + 123152.

It is an arithmetic number, because the mean of its divisors is an integer number (254278332).

Almost surely, 25661300128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5661300128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6102679968).

5661300128 is an abundant number, since it is smaller than the sum of its proper divisors (6544059808).

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

5661300128 is a wasteful number, since it uses less digits than its factorization.

5661300128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61437 (or 61429 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 5661300128 is about 75241.6116786449. The cubic root of 5661300128 is about 1782.2641020399.

The spelling of 5661300128 in words is "five billion, six hundred sixty-one million, three hundred thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 263 352 526 1052 2104 2893 4208 5786 8416 11572 23144 46288 61153 92576 122306 244612 489224 672683 978448 1345366 1956896 2690732 5381464 10762928 16083239 21525856 32166478 64332956 128665912 176915629 257331824 353831258 514663648 707662516 1415325032 2830650064 5661300128