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1257057228357 = 327151132140989
BaseRepresentation
bin10010010010101110011…
…100110001011001000101
311110011200110221121221100
4102102232130301121011
5131043423122301412
62401252323010313
7156551023066410
oct22225634613105
94404613847840
101257057228357
1144512a041277
12183761b09999
1391703479ba8
1444bb0230b77
1522a73e00edc
hex124ae731645

1257057228357 has 24 divisors (see below), whose sum is σ = 2088884769920. Its totient is φ = 713561335200.

The previous prime is 1257057228347. The next prime is 1257057228397. The reversal of 1257057228357 is 7538227507521.

1257057228357 is a `hidden beast` number, since 12 + 5 + 7 + 0 + 57 + 228 + 357 = 666.

It is not a de Polignac number, because 1257057228357 - 210 = 1257057227333 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1257057228337) 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 23 ways as a sum of consecutive naturals, for example, 66060982 + ... + 66080007.

Almost surely, 21257057228357 is an apocalyptic number.

It is an amenable number.

1257057228357 is a deficient number, since it is larger than the sum of its proper divisors (831827541563).

1257057228357 is a wasteful number, since it uses less digits than its factorization.

1257057228357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132141153 (or 132141150 counting only the distinct ones).

The product of its (nonzero) digits is 8232000, while the sum is 54.

The spelling of 1257057228357 in words is "one trillion, two hundred fifty-seven billion, fifty-seven million, two hundred twenty-eight thousand, three hundred fifty-seven".

Divisors: 1 3 7 9 21 63 151 453 1057 1359 3171 9513 132140989 396422967 924986923 1189268901 2774960769 8324882307 19953289339 59859868017 139673025373 179579604051 419019076119 1257057228357