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129478348561 = 58726132
BaseRepresentation
bin111100010010110000…
…0101100111100010001
3110101012120100121101011
41320211200230330101
54110132424123221
6135252002210521
712232410542452
oct1704540547421
9411176317334
10129478348561
114aa03174741
1221116053a41
13c295aab743
1463a40b9129
15357c1701e1
hex1e2582cf11

129478348561 has 9 divisors (see below), whose sum is σ = 129911227131. Its totient is φ = 129046911192.

The previous prime is 129478348553. The next prime is 129478348567. The reversal of 129478348561 is 165843874921.

The square root of 129478348561 is 359831.

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

It can be written as a sum of positive squares in only one way, i.e., 422097025 + 129056251536 = 20545^2 + 359244^2 .

It is not a de Polignac number, because 129478348561 - 23 = 129478348553 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 129478348496 and 129478348505.

It is not an unprimeable number, because it can be changed into a prime (129478348567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 211220491 + ... + 211221103.

Almost surely, 2129478348561 is an apocalyptic number.

129478348561 is the 359831-st square number.

129478348561 is the 179916-th centered octagonal number.

It is an amenable number.

129478348561 is a deficient number, since it is larger than the sum of its proper divisors (432878570).

129478348561 is an frugal number, since it uses more digits than its factorization.

129478348561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400 (or 1200 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 58.

The spelling of 129478348561 in words is "one hundred twenty-nine billion, four hundred seventy-eight million, three hundred forty-eight thousand, five hundred sixty-one".

Divisors: 1 587 613 344569 359831 375769 211220797 220576403 129478348561