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6429703056 = 2437193153613
BaseRepresentation
bin1011111110011110…
…10111101110010000
3121121002121202110020
411333033113232100
5101132000444211
62542002503440
7315222400650
oct57717275620
917532552406
106429703056
1127aa444087
1212b5364b80
137b610a12a
1444dd06360
15279717306
hex17f3d7b90

6429703056 has 320 divisors, whose sum is σ = 21050081280. Its totient is φ = 1649756160.

The previous prime is 6429703031. The next prime is 6429703057. The reversal of 6429703056 is 6503079246.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6429702999 and 6429703017.

It is not an unprimeable number, because it can be changed into a prime (6429703057) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10488606 + ... + 10489218.

It is an arithmetic number, because the mean of its divisors is an integer number (65781504).

Almost surely, 26429703056 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 6429703056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10525040640).

6429703056 is an abundant number, since it is smaller than the sum of its proper divisors (14620378224).

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

6429703056 is a wasteful number, since it uses less digits than its factorization.

6429703056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 6429703056 is about 80185.4292000735. The cubic root of 6429703056 is about 1859.5033799590.

The spelling of 6429703056 in words is "six billion, four hundred twenty-nine million, seven hundred three thousand, fifty-six".