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5460660645 = 351141807193
BaseRepresentation
bin1010001010111101…
…10001000110100101
3112002120012022011120
411011132301012211
542140412120040
62301504524153
7252214564266
oct50536610645
915076168146
105460660645
112352445190
121084920659
1369041ba5b
1439b33696d
1521e5ed7d0
hex1457b11a5

5460660645 has 32 divisors (see below), whose sum is σ = 9763818624. Its totient is φ = 2583014400.

The previous prime is 5460660617. The next prime is 5460660659.

It is a happy number.

5460660645 is nontrivially palindromic in base 10.

5460660645 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5460660645 - 213 = 5460652453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5460660597 and 5460660606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396832 + ... + 410361.

It is an arithmetic number, because the mean of its divisors is an integer number (305119332).

Almost surely, 25460660645 is an apocalyptic number.

5460660645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5460660645 is a deficient number, since it is larger than the sum of its proper divisors (4303157979).

5460660645 is a wasteful number, since it uses less digits than its factorization.

5460660645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807253.

The product of its (nonzero) digits is 518400, while the sum is 42.

The square root of 5460660645 is about 73896.2830256029. The cubic root of 5460660645 is about 1760.9555594645.

The spelling of 5460660645 in words is "five billion, four hundred sixty million, six hundred sixty thousand, six hundred forty-five".

Divisors: 1 3 5 11 15 33 41 55 123 165 205 451 615 1353 2255 6765 807193 2421579 4035965 8879123 12107895 26637369 33094913 44395615 99284739 133186845 165474565 364044043 496423695 1092132129 1820220215 5460660645