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52414404516 = 22321455955681
BaseRepresentation
bin110000110100001001…
…000101011110100100
312000021211221121222100
4300310021011132210
51324321041421031
640025010332100
73533610041655
oct606411053644
9160254847870
1052414404516
1120257623991
12a1a958a030
134c3402cc56
14277325d52c
15156b813de6
hexc342457a4

52414404516 has 18 divisors (see below), whose sum is σ = 132491967062. Its totient is φ = 17471468160.

The previous prime is 52414404509. The next prime is 52414404527. The reversal of 52414404516 is 61540441425.

52414404516 is a `hidden beast` number, since 5 + 241 + 4 + 404 + 5 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48607020900 + 3807383616 = 220470^2 + 61704^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1455955681 = 52414404516 / (5 + 2 + 4 + 1 + 4 + 4 + 0 + 4 + 5 + 1 + 6).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 727977805 + ... + 727977876.

Almost surely, 252414404516 is an apocalyptic number.

It is an amenable number.

52414404516 is an abundant number, since it is smaller than the sum of its proper divisors (80077562546).

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

52414404516 is a wasteful number, since it uses less digits than its factorization.

52414404516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455955691 (or 1455955686 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 52414404516 in words is "fifty-two billion, four hundred fourteen million, four hundred four thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 1455955681 2911911362 4367867043 5823822724 8735734086 13103601129 17471468172 26207202258 52414404516