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57424059000 = 233753711231
BaseRepresentation
bin110101011110101111…
…011001101001111000
312111012222111110000000
4311132233121221320
51420101024342000
642214044513000
74102010306430
oct653657315170
9174188443000
1057424059000
1122398425500
12b16724b760
135551b8c049
142aca7152c0
151761526000
hexd5ebd9a78

57424059000 has 1536 divisors, whose sum is σ = 261325209600. Its totient is φ = 11547360000.

The previous prime is 57424058987. The next prime is 57424059013. The reversal of 57424059000 is 95042475.

It is an interprime number because it is at equal distance from previous prime (57424058987) and next prime (57424059013).

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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1852388985 + ... + 1852389015.

It is an arithmetic number, because the mean of its divisors is an integer number (170133600).

Almost surely, 257424059000 is an apocalyptic number.

57424059000 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 57424059000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130662604800).

57424059000 is an abundant number, since it is smaller than the sum of its proper divisors (203901150600).

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

57424059000 is a wasteful number, since it uses less digits than its factorization.

57424059000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 57424059000 in words is "fifty-seven billion, four hundred twenty-four million, fifty-nine thousand".