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10452420000 = 253254115279
BaseRepresentation
bin10011011110000001…
…10100010110100000
3222222110001221200200
421233000310112200
5132401304420000
64445103345200
7520010050461
oct115700642640
928873057620
1010452420000
114484133940
1220385b2200
13ca7653809
14712290d68
15412978500
hex26f0345a0

10452420000 has 360 divisors, whose sum is σ = 40527527040. Its totient is φ = 2533440000.

The previous prime is 10452419987. The next prime is 10452420019. The reversal of 10452420000 is 2425401.

10452420000 is a `hidden beast` number, since 10 + 452 + 4 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1977361 + ... + 1982639.

It is an arithmetic number, because the mean of its divisors is an integer number (112576464).

Almost surely, 210452420000 is an apocalyptic number.

10452420000 is a gapful number since it is divisible by the number (10) 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 10452420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20263763520).

10452420000 is an abundant number, since it is smaller than the sum of its proper divisors (30075107040).

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

10452420000 is a wasteful number, since it uses less digits than its factorization.

10452420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5326 (or 5300 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 10452420000 its reverse (2425401), we get a palindrome (10454845401).

The spelling of 10452420000 in words is "ten billion, four hundred fifty-two million, four hundred twenty thousand".