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16416260541 = 3215073121013
BaseRepresentation
bin11110100100111110…
…00100000110111101
31120101002002102220200
433102133010012331
5232110030314131
611312545234113
71120544624622
oct172237040675
946332072820
1016416260541
116a6460757a
123221932939
13171809bb45
14b1a36a349
1566131c2e6
hex3d27c41bd

16416260541 has 12 divisors (see below), whose sum is σ = 23714145468. Its totient is φ = 10943357184.

The previous prime is 16416260501. The next prime is 16416260561. The reversal of 16416260541 is 14506261461.

16416260541 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 6 + 2 + 605 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11647805625 + 4768454916 = 107925^2 + 69054^2 .

It is not a de Polignac number, because 16416260541 - 211 = 16416258493 is a prime.

It is a super-2 number, since 2×164162605412 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16416260496 and 16416260505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16416260501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75151 + ... + 196163.

It is an arithmetic number, because the mean of its divisors is an integer number (1976178789).

Almost surely, 216416260541 is an apocalyptic number.

It is an amenable number.

16416260541 is a deficient number, since it is larger than the sum of its proper divisors (7297884927).

16416260541 is a wasteful number, since it uses less digits than its factorization.

16416260541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136092 (or 136089 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 16416260541 in words is "sixteen billion, four hundred sixteen million, two hundred sixty thousand, five hundred forty-one".

Divisors: 1 3 9 15073 45219 121013 135657 363039 1089117 1824028949 5472086847 16416260541