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3416055552 = 28337135431
BaseRepresentation
bin1100101110011100…
…1101111100000000
322211001220121021000
43023213031330000
523444002234202
61322545532000
7150436664430
oct31347157400
98731817230
103416055552
1114a3302108
127b4044000
13425957a60
1424598a2c0
1514ed7991c
hexcb9cdf00

3416055552 has 288 divisors, whose sum is σ = 12435368960. Its totient is φ = 900771840.

The previous prime is 3416055547. The next prime is 3416055553. The reversal of 3416055552 is 2555506143.

3416055552 is a `hidden beast` number, since 3 + 41 + 60 + 5 + 5 + 552 = 666.

3416055552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3416055553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 626277 + ... + 631707.

Almost surely, 23416055552 is an apocalyptic number.

3416055552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3416055552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6217684480).

3416055552 is an abundant number, since it is smaller than the sum of its proper divisors (9019313408).

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

3416055552 is a wasteful number, since it uses less digits than its factorization.

3416055552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5476 (or 5456 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 3416055552 is about 58447.0320204542. The cubic root of 3416055552 is about 1506.0578063873.

The spelling of 3416055552 in words is "three billion, four hundred sixteen million, fifty-five thousand, five hundred fifty-two".