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161541011257 = 4331329728057
BaseRepresentation
bin1001011001110010011…
…0000011011100111001
3120102222001220122000221
42112130212003130321
510121313444330012
6202113320300041
714446064640253
oct2263446033471
9512861818027
10161541011257
116256676478a
1227383911621
13123055baac2
147b66450cd3
154306dd8507
hex259c983739

161541011257 has 8 divisors (see below), whose sum is σ = 161932033256. Its totient is φ = 161150072832.

The previous prime is 161541011251. The next prime is 161541011273. The reversal of 161541011257 is 752110145161.

161541011257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4696497961 + 156844513296 = 68531^2 + 396036^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-161541011257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (161541011251) 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, 5743573 + ... + 5771629.

It is an arithmetic number, because the mean of its divisors is an integer number (20241504157).

Almost surely, 2161541011257 is an apocalyptic number.

It is an amenable number.

161541011257 is a deficient number, since it is larger than the sum of its proper divisors (391021999).

161541011257 is a wasteful number, since it uses less digits than its factorization.

161541011257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41787.

The product of its (nonzero) digits is 8400, while the sum is 34.

The spelling of 161541011257 in words is "one hundred sixty-one billion, five hundred forty-one million, eleven thousand, two hundred fifty-seven".

Divisors: 1 433 13297 28057 5757601 12148681 373073929 161541011257