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159061380625 = 5472432532
BaseRepresentation
bin1001010000100011001…
…1000000111000010001
3120012120021001100021101
42110020303000320101
510101224203140000
6201023301224401
714330455266400
oct2241063007021
9505507040241
10159061380625
1161504003574
12269b1402101
1311ccb970c44
1479acdc3637
15420e382e6a
hex2508cc0e11

159061380625 has 135 divisors (see below), whose sum is σ = 241266959703. Its totient is φ = 104524056000.

The previous prime is 159061380607. The next prime is 159061380631. The reversal of 159061380625 is 526083160951.

The square root of 159061380625 is 398825.

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

It can be written as a sum of positive squares in 7 ways, for example, as 88260685569 + 70800695056 = 297087^2 + 266084^2 .

It is not a de Polignac number, because 159061380625 - 27 = 159061380497 is a prime.

It is a super-2 number, since 2×1590613806252 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3001158099 + ... + 3001158151.

Almost surely, 2159061380625 is an apocalyptic number.

159061380625 is the 398825-th square number.

159061380625 is the 199413-rd centered octagonal number.

It is an amenable number.

159061380625 is a deficient number, since it is larger than the sum of its proper divisors (82205579078).

159061380625 is an frugal number, since it uses more digits than its factorization.

159061380625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 46.

The spelling of 159061380625 in words is "one hundred fifty-nine billion, sixty-one million, three hundred eighty thousand, six hundred twenty-five".

Divisors: 1 5 7 25 35 43 49 53 125 175 215 245 265 301 371 625 875 1075 1225 1325 1505 1849 1855 2107 2279 2597 2809 4375 5375 6125 6625 7525 9245 9275 10535 11395 12943 12985 14045 15953 19663 26875 30625 33125 37625 46225 46375 52675 56975 64715 64925 70225 79765 90601 97997 98315 111671 120787 137641 188125 231125 231875 263375 284875 323575 324625 351125 398825 453005 489985 491575 558355 603935 685979 688205 845509 1155625 1316875 1424375 1617875 1623125 1755625 1994125 2265025 2449925 2457875 2791775 3019675 3429895 3441025 4227545 4801853 5193841 5918563 8089375 9970625 11325125 12249625 12289375 13958875 15098375 17149475 17205125 21137725 24009265 25969205 29592815 36356887 56625625 61248125 69794375 75491875 85747375 86025625 105688625 120046325 129846025 147964075 181784435 254498209 428736875 528443125 600231625 649230125 739820375 908922175 1272491045 3001158125 3246150625 3699101875 4544610875 6362455225 22723054375 31812276125 159061380625