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1057457612523 = 313196121233143
BaseRepresentation
bin11110110001101010110…
…00101010011011101011
310202002111001001120021010
433120311120222123223
5114311133122100043
62125442254315003
7136253533254234
oct17306530523353
93662431046233
101057457612523
11378513288684
12150b384b8a63
13789440a5130
14392773b408b
151c790bb9133
hexf63562a6eb

1057457612523 has 32 divisors (see below), whose sum is σ = 1598584476160. Its totient is φ = 616390145280.

The previous prime is 1057457612467. The next prime is 1057457612531. The reversal of 1057457612523 is 3252167547501.

It is not a de Polignac number, because 1057457612523 - 213 = 1057457604331 is a prime.

It is a super-2 number, since 2×10574576125232 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1057457612573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4419090 + ... + 4652232.

It is an arithmetic number, because the mean of its divisors is an integer number (49955764880).

Almost surely, 21057457612523 is an apocalyptic number.

1057457612523 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1057457612523 is a deficient number, since it is larger than the sum of its proper divisors (541126863637).

1057457612523 is a wasteful number, since it uses less digits than its factorization.

1057457612523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239299.

The product of its (nonzero) digits is 1764000, while the sum is 48.

The spelling of 1057457612523 in words is "one trillion, fifty-seven billion, four hundred fifty-seven million, six hundred twelve thousand, five hundred twenty-three".

Divisors: 1 3 13 19 39 57 247 741 6121 18363 79573 116299 233143 238719 348897 699429 1511887 3030859 4429717 4535661 9092577 13289151 57586321 172758963 1427068303 4281204909 18551887939 27114297757 55655663817 81342893271 352485870841 1057457612523