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5629499136 = 283317232083
BaseRepresentation
bin1010011111000101…
…10101011100000000
3112112022220012001000
411033202311130000
543012122433021
62330335412000
7256334644632
oct51742653400
915468805030
105629499136
112429784028
121111384000
136b93b54a1
143b5926a52
1522e34eb26
hex14f8b5700

5629499136 has 288 divisors, whose sum is σ = 18401886720. Its totient is φ = 1688518656.

The previous prime is 5629499089. The next prime is 5629499179. The reversal of 5629499136 is 6319949265.

5629499136 is a `hidden beast` number, since 5 + 629 + 4 + 9 + 9 + 1 + 3 + 6 = 666.

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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2701551 + ... + 2703633.

It is an arithmetic number, because the mean of its divisors is an integer number (63895440).

Almost surely, 25629499136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5629499136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9200943360).

5629499136 is an abundant number, since it is smaller than the sum of its proper divisors (12772387584).

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

5629499136 is a wasteful number, since it uses less digits than its factorization.

5629499136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 2128 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 54.

The square root of 5629499136 is about 75029.9882447012. The cubic root of 5629499136 is about 1778.9206872665.

The spelling of 5629499136 in words is "five billion, six hundred twenty-nine million, four hundred ninety-nine thousand, one hundred thirty-six".