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159541928329 = 7243213272
BaseRepresentation
bin1001010010010101110…
…0001010000110001001
3120020210202021200210111
42110211130022012021
510103220213201304
6201143105114321
714345412005200
oct2244534120611
9506722250714
10159541928329
1161730294133
1226b063289a1
13120773a4cb4
147a16b54237
15423b657704
hex252570a189

159541928329 has 27 divisors (see below), whose sum is σ = 190149292557. Its totient is φ = 133469330904.

The previous prime is 159541928309. The next prime is 159541928341. The reversal of 159541928329 is 923829145951.

It is a happy number.

The square root of 159541928329 is 399427.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 159541928329 - 29 = 159541927817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (159541928309) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 120226864 + ... + 120228190.

It is an arithmetic number, because the mean of its divisors is an integer number (7042566391).

Almost surely, 2159541928329 is an apocalyptic number.

159541928329 is the 399427-th square number.

159541928329 is the 199714-th centered octagonal number.

It is an amenable number.

159541928329 is a deficient number, since it is larger than the sum of its proper divisors (30607364228).

159541928329 is an frugal number, since it uses more digits than its factorization.

159541928329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754 (or 1377 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 58.

The spelling of 159541928329 in words is "one hundred fifty-nine billion, five hundred forty-one million, nine hundred twenty-eight thousand, three hundred twenty-nine".

Divisors: 1 7 43 49 301 1327 1849 2107 9289 12943 57061 65023 90601 399427 1760929 2453623 2795989 12326503 17175361 75719947 86285521 120227527 530039629 3255957721 3710277403 22791704047 159541928329