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257442230557 = 1723658420027
BaseRepresentation
bin1110111111000011000…
…0001011000100011101
3220121111120222100012001
43233300300023010131
513204220202334212
6314133424242301
724412441565641
oct3576060130435
9817446870161
10257442230557
119a1a9478216
1241a88a70391
131b379ba1305
14c662da6c21
156a6b389657
hex3bf0c0b11d

257442230557 has 8 divisors (see below), whose sum is σ = 284437452096. Its totient is φ = 231763849152.

The previous prime is 257442230533. The next prime is 257442230599. The reversal of 257442230557 is 755032244752.

It is a happy number.

257442230557 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 257442230557 - 235 = 223082492189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257442240557) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 329209623 + ... + 329210404.

It is an arithmetic number, because the mean of its divisors is an integer number (35554681512).

Almost surely, 2257442230557 is an apocalyptic number.

It is an amenable number.

257442230557 is a deficient number, since it is larger than the sum of its proper divisors (26995221539).

257442230557 is a wasteful number, since it uses less digits than its factorization.

257442230557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658420067.

The product of its (nonzero) digits is 2352000, while the sum is 46.

The spelling of 257442230557 in words is "two hundred fifty-seven billion, four hundred forty-two million, two hundred thirty thousand, five hundred fifty-seven".

Divisors: 1 17 23 391 658420027 11193140459 15143660621 257442230557