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5461441645 = 511461215399
BaseRepresentation
bin1010001011000011…
…01111110001101101
3112002121122222111111
411011201233301231
542141112113040
62301533352021
7252224326252
oct50541576155
915077588444
105461441645
112352928a40
121085038611
1369063339a
1439b49b429
1521e704dea
hex14586fc6d

5461441645 has 16 divisors (see below), whose sum is σ = 7165065600. Its totient is φ = 3963323200.

The previous prime is 5461441627. The next prime is 5461441649.

It is a happy number.

5461441645 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5461441645 - 29 = 5461441133 is a prime.

It is a super-3 number, since 3×54614416453 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5461441598 and 5461441607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5461441649) 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, 82345 + ... + 133054.

It is an arithmetic number, because the mean of its divisors is an integer number (447816600).

Almost surely, 25461441645 is an apocalyptic number.

5461441645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5461441645 is a deficient number, since it is larger than the sum of its proper divisors (1703623955).

5461441645 is a wasteful number, since it uses less digits than its factorization.

5461441645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215876.

The product of its digits is 230400, while the sum is 40.

The square root of 5461441645 is about 73901.5672702548. The cubic root of 5461441645 is about 1761.0395078375.

The spelling of 5461441645 in words is "five billion, four hundred sixty-one million, four hundred forty-one thousand, six hundred forty-five".

Divisors: 1 5 11 55 461 2305 5071 25355 215399 1076995 2369389 11846945 99298939 496494695 1092288329 5461441645