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5416420560 = 243522568419
BaseRepresentation
bin1010000101101100…
…00000010011010000
3111222110221200011220
411002312000103100
542043100424220
62253244405040
7251136546405
oct50266002320
914873850156
105416420560
11232a478a31
121071b46780
136841cc2a5
143954dc2ac
1521a7b0540
hex142d804d0

5416420560 has 40 divisors (see below), whose sum is σ = 16790904480. Its totient is φ = 1444378752.

The previous prime is 5416420553. The next prime is 5416420591. The reversal of 5416420560 is 650246145.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×54164205602 = 58675223365581427200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11283970 + ... + 11284449.

It is an arithmetic number, because the mean of its divisors is an integer number (419772612).

Almost surely, 25416420560 is an apocalyptic number.

It is an amenable number.

5416420560 is an abundant number, since it is smaller than the sum of its proper divisors (11374483920).

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

5416420560 is a wasteful number, since it uses less digits than its factorization.

5416420560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22568435 (or 22568429 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 5416420560 is about 73596.3352348471. The cubic root of 5416420560 is about 1756.1871400778.

The spelling of 5416420560 in words is "five billion, four hundred sixteen million, four hundred twenty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 22568419 45136838 67705257 90273676 112842095 135410514 180547352 225684190 270821028 338526285 361094704 451368380 541642056 677052570 902736760 1083284112 1354105140 1805473520 2708210280 5416420560