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57424653000 = 2333531113107139
BaseRepresentation
bin110101011110110001…
…101010101011001000
312111020000121121211000
4311132301222223020
51420101202344000
642214105335000
74102015332261
oct653661525310
9174200547730
1057424653000
11223987a0810
12b167497460
135552039520
142aca82b968
1517615e2000
hexd5ec6aac8

57424653000 has 1024 divisors, whose sum is σ = 237758976000. Its totient is φ = 12638592000.

The previous prime is 57424652947. The next prime is 57424653017. The reversal of 57424653000 is 35642475.

57424653000 is a `hidden beast` number, since 574 + 24 + 65 + 3 + 0 + 0 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 413126931 + ... + 413127069.

It is an arithmetic number, because the mean of its divisors is an integer number (232186500).

Almost surely, 257424653000 is an apocalyptic number.

57424653000 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 57424653000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118879488000).

57424653000 is an abundant number, since it is smaller than the sum of its proper divisors (180334323000).

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

57424653000 is a wasteful number, since it uses less digits than its factorization.

57424653000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 57424653000 in words is "fifty-seven billion, four hundred twenty-four million, six hundred fifty-three thousand".