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5460990645 = 351186338351
BaseRepresentation
bin1010001011000000…
…00001101010110101
3112002120211001211210
411011200001222311
542141003200040
62301515552033
7252220440345
oct50540015265
915076731753
105460990645
112352650110
121084a5b619
13690506016
1439b3c0d25
1521e666480
hex145801ab5

5460990645 has 32 divisors (see below), whose sum is σ = 9543204864. Its totient is φ = 2644616000.

The previous prime is 5460990637. The next prime is 5460990673.

5460990645 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5460990645 - 23 = 5460990637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5460990594 and 5460990603.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 123220 + ... + 161570.

It is an arithmetic number, because the mean of its divisors is an integer number (298225152).

Almost surely, 25460990645 is an apocalyptic number.

5460990645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5460990645 is a deficient number, since it is larger than the sum of its proper divisors (4082214219).

5460990645 is a wasteful number, since it uses less digits than its factorization.

5460990645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39233.

The product of its (nonzero) digits is 1166400, while the sum is 48.

The square root of 5460990645 is about 73898.5158511319. The cubic root of 5460990645 is about 1760.9910315845.

The spelling of 5460990645 in words is "five billion, four hundred sixty million, nine hundred ninety thousand, six hundred forty-five".

Divisors: 1 3 5 11 15 33 55 165 863 2589 4315 9493 12945 28479 38351 47465 115053 142395 191755 421861 575265 1265583 2109305 6327915 33096913 99290739 165484565 364066043 496453695 1092198129 1820330215 5460990645