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159523555216 = 2431232212
BaseRepresentation
bin1001010010010001011…
…0000100011110010000
3120020202110201020121211
42110210112010132100
510103201012231331
6201141211225504
714345066563234
oct2244426043620
9506673636554
10159523555216
1161720985143
1226b00148294
131207364122c
147a145305c4
154239c288b1
hex2524584790

159523555216 has 45 divisors (see below), whose sum is σ = 319467913329. Its totient is φ = 77164852800.

The previous prime is 159523555201. The next prime is 159523555237. The reversal of 159523555216 is 612555325951.

The square root of 159523555216 is 399404.

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

159523555216 is digitally balanced in base 3, 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 only one way, i.e., 123057833616 + 36465721600 = 350796^2 + 190960^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 159523555216.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49524486 + ... + 49527706.

Almost surely, 2159523555216 is an apocalyptic number.

159523555216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

159523555216 is the 399404-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159523555216

159523555216 is an abundant number, since it is smaller than the sum of its proper divisors (159944358113).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

159523555216 is an frugal number, since it uses more digits than its factorization.

159523555216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6512 (or 3254 counting only the distinct ones).

The product of its digits is 2025000, while the sum is 49.

Multiplying 159523555216 by its sum of digits (49), we get a square (7816654205584 = 27958282).

The spelling of 159523555216 in words is "one hundred fifty-nine billion, five hundred twenty-three million, five hundred fifty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 31 62 124 248 496 961 1922 3221 3844 6442 7688 12884 15376 25768 51536 99851 199702 399404 798808 1597616 3095381 6190762 10374841 12381524 20749682 24763048 41499364 49526096 82998728 165997456 321620071 643240142 1286480284 2572960568 5145921136 9970222201 19940444402 39880888804 79761777608 159523555216