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5429466000 = 2432537411051
BaseRepresentation
bin1010000111001111…
…10001001110010000
3112000101111110011100
411003213301032100
542104420403000
62254432144400
7251355461640
oct50347611620
915011443140
105429466000
112336879192
121076398100
13686b1909a
14397136520
1521b9daa00
hex1439f1390

5429466000 has 480 divisors, whose sum is σ = 22222077696. Its totient is φ = 1209600000.

The previous prime is 5429465939. The next prime is 5429466017. The reversal of 5429466000 is 6649245.

5429466000 is a `hidden beast` number, since 5 + 4 + 2 + 9 + 46 + 600 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 5165475 + ... + 5166525.

Almost surely, 25429466000 is an apocalyptic number.

5429466000 is a gapful number since it is divisible by the number (50) 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 5429466000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11111038848).

5429466000 is an abundant number, since it is smaller than the sum of its proper divisors (16792611696).

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

5429466000 is a wasteful number, since it uses less digits than its factorization.

5429466000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5429466000 is about 73684.9102598354. The cubic root of 5429466000 is about 1757.5959342679.

The spelling of 5429466000 in words is "five billion, four hundred twenty-nine million, four hundred sixty-six thousand".