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5632818048 = 27321113311103
BaseRepresentation
bin1010011111011110…
…11111101110000000
3112112120010210201200
411033233133232000
543014000134143
62330534501200
7256405110024
oct51757375600
915476123650
105632818048
112430640630
121112504800
136b9ca8040
143b614c384
1522e7a81d3
hex14fbdfb80

5632818048 has 384 divisors, whose sum is σ = 19674869760. Its totient is φ = 1523404800.

The previous prime is 5632818031. The next prime is 5632818053. The reversal of 5632818048 is 8408182365.

5632818048 is a `hidden beast` number, since 5 + 632 + 8 + 1 + 8 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 5632817994 and 5632818012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5106265 + ... + 5107367.

It is an arithmetic number, because the mean of its divisors is an integer number (51236640).

Almost surely, 25632818048 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 5632818048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9837434880).

5632818048 is an abundant number, since it is smaller than the sum of its proper divisors (14042051712).

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

5632818048 is a wasteful number, since it uses less digits than its factorization.

5632818048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 5632818048 is about 75052.1022223895. The cubic root of 5632818048 is about 1779.2702104472.

The spelling of 5632818048 in words is "five billion, six hundred thirty-two million, eight hundred eighteen thousand, forty-eight".