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57253230496 = 25711172374153
BaseRepresentation
bin110101010100100011…
…101111011110100000
312110210002001110100101
4311110203233132200
51414223311333441
642145103232144
74064534300230
oct652443573640
9173702043311
1057253230496
112230aa57520
12b119ba8654
1355256798a7
142ab1b67cc0
151751530231
hexd548ef7a0

57253230496 has 576 divisors, whose sum is σ = 160020935424. Its totient is φ = 19552665600.

The previous prime is 57253230473. The next prime is 57253230563. The reversal of 57253230496 is 69403235275.

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 95 ways as a sum of consecutive naturals, for example, 1080249606 + ... + 1080249658.

It is an arithmetic number, because the mean of its divisors is an integer number (277814124).

Almost surely, 257253230496 is an apocalyptic number.

57253230496 is a gapful number since it is divisible by the number (56) 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 57253230496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80010467712).

57253230496 is an abundant number, since it is smaller than the sum of its proper divisors (102767704928).

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

57253230496 is a wasteful number, since it uses less digits than its factorization.

57253230496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 46.

The spelling of 57253230496 in words is "fifty-seven billion, two hundred fifty-three million, two hundred thirty thousand, four hundred ninety-six".