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4991472000 = 273253172039
BaseRepresentation
bin1001010011000001…
…11101000110000000
3110212212100001100100
410221200331012000
540210304101000
62143144322400
7234456545334
oct45140750600
913785301310
104991472000
112131612879
12b73773400
13617164038
14354cc17c4
151e331ea00
hex12983d180

4991472000 has 384 divisors, whose sum is σ = 18989380800. Its totient is φ = 1252147200.

The previous prime is 4991471993. The next prime is 4991472019. The reversal of 4991472000 is 2741994.

4991472000 is a `hidden beast` number, since 499 + 147 + 20 + 0 + 0 = 666.

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

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

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, 2446981 + ... + 2449019.

Almost surely, 24991472000 is an apocalyptic number.

4991472000 is a gapful number since it is divisible by the number (40) 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 4991472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9494690400).

4991472000 is an abundant number, since it is smaller than the sum of its proper divisors (13997908800).

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

4991472000 is a wasteful number, since it uses less digits than its factorization.

4991472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 4991472000 is about 70650.3503176028. The cubic root of 4991472000 is about 1709.0032151117.

The spelling of 4991472000 in words is "four billion, nine hundred ninety-one million, four hundred seventy-two thousand".