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57430863000 = 2335537191777
BaseRepresentation
bin110101011111001001…
…010110110010011000
312111020110022010100000
4311133021112302120
51420104300104000
642214450413000
74102122165240
oct653711266230
9174213263300
1057430863000
11223a1252445
12b169591160
135553401c94
142acb5a6b20
151761e1c000
hexd5f256c98

57430863000 has 768 divisors, whose sum is σ = 242308684800. Its totient is φ = 12429158400.

The previous prime is 57430862947. The next prime is 57430863011. The reversal of 57430863000 is 36803475.

It is a happy number.

57430863000 is a `hidden beast` number, since 574 + 3 + 0 + 86 + 3 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×574308630003 (a number of 33 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32318112 + ... + 32319888.

It is an arithmetic number, because the mean of its divisors is an integer number (315506100).

Almost surely, 257430863000 is an apocalyptic number.

57430863000 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 57430863000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121154342400).

57430863000 is an abundant number, since it is smaller than the sum of its proper divisors (184877821800).

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

57430863000 is a wasteful number, since it uses less digits than its factorization.

57430863000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1813 counting only the distinct ones).

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

The spelling of 57430863000 in words is "fifty-seven billion, four hundred thirty million, eight hundred sixty-three thousand".