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3545532000 = 25345331353
BaseRepresentation
bin1101001101010100…
…1000011001100000
3100011002112200120000
43103111020121200
524230124011000
61343453020000
7153601344663
oct32325103140
910132480500
103545532000
11155a3a673a
1282b484600
1344671c13a
14258c516da
1515b403000
hexd3548660

3545532000 has 480 divisors, whose sum is σ = 13471121664. Its totient is φ = 912384000.

The previous prime is 3545531971. The next prime is 3545532007. The reversal of 3545532000 is 2355453.

3545532000 is a `hidden beast` number, since 3 + 5 + 455 + 3 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3545532007) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 10043824 + ... + 10044176.

Almost surely, 23545532000 is an apocalyptic number.

3545532000 is a gapful number since it is divisible by the number (30) 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 3545532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6735560832).

3545532000 is an abundant number, since it is smaller than the sum of its proper divisors (9925589664).

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

3545532000 is a wasteful number, since it uses less digits than its factorization.

3545532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 3545532000 is about 59544.3700109423. The cubic root of 3545532000 is about 1524.8500434830.

Adding to 3545532000 its reverse (2355453), we get a palindrome (3547887453).

The spelling of 3545532000 in words is "three billion, five hundred forty-five million, five hundred thirty-two thousand".