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5673403008 = 2732713223181
BaseRepresentation
bin1010100100010100…
…10100001010000000
3112122101111201211100
411102022110022000
543104342344013
62334544414400
7260410062360
oct52212241200
915571451740
105673403008
112451540719
121124017400
136c5517c00
143bb6b49a0
15233123473
hex152294280

5673403008 has 576 divisors, whose sum is σ = 21198602880. Its totient is φ = 1423319040.

The previous prime is 5673402997. The next prime is 5673403033. The reversal of 5673403008 is 8003043765.

5673403008 = T7827 + T7828 + ... + T8007.

It is a happy number.

5673403008 is a `hidden beast` number, since 5 + 6 + 7 + 340 + 300 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31344678 + ... + 31344858.

It is an arithmetic number, because the mean of its divisors is an integer number (36803130).

Almost surely, 25673403008 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 5673403008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10599301440).

5673403008 is an abundant number, since it is smaller than the sum of its proper divisors (15525199872).

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

5673403008 is a wasteful number, since it uses less digits than its factorization.

5673403008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5673403008 is about 75321.9955125991. The cubic root of 5673403008 is about 1783.5332554703.

The spelling of 5673403008 in words is "five billion, six hundred seventy-three million, four hundred three thousand, eight".