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12578811342244 = 227261241532
BaseRepresentation
bin1011011100001011101110…
…0101001110110110100100
31122112112002222201211010121
42313002323211032312210
53122042401200422434
642430343125531324
72435534446155100
oct267027345166644
948475088654117
1012578811342244
11400a70a08a1a4
1214b1a36573b44
1370323b61c784
14316b63b60900
1516c30c9c77b4
hexb70bb94eda4

12578811342244 has 81 divisors (see below), whose sum is σ = 26039802468771. Its totient is φ = 5301266624640.

The previous prime is 12578811342239. The next prime is 12578811342247. The reversal of 12578811342244 is 44224311887521.

The square root of 12578811342244 is 3546662.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11542666502500 + 1036144839744 = 3397450^2 + 1017912^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12578811342191 and 12578811342200.

It is not an unprimeable number, because it can be changed into a prime (12578811342247) 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, 3028847272 + ... + 3028851424.

Almost surely, 212578811342244 is an apocalyptic number.

12578811342244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12578811342244 is the 3546662-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12578811342244

12578811342244 is an abundant number, since it is smaller than the sum of its proper divisors (13460991126527).

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

12578811342244 is an frugal number, since it uses more digits than its factorization.

12578811342244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8446 (or 4223 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 52.

The spelling of 12578811342244 in words is "twelve trillion, five hundred seventy-eight billion, eight hundred eleven million, three hundred forty-two thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 49 61 98 122 196 244 427 854 1708 2989 3721 4153 5978 7442 8306 11956 14884 16612 26047 29071 52094 58142 104188 116284 182329 203497 253333 364658 406994 506666 729316 813988 1013332 1773331 3546662 7093324 12413317 15453313 17247409 24826634 30906626 34494818 49653268 61813252 68989636 108173191 120731863 216346382 241463726 432692764 482927452 757212337 845123041 1052091949 1514424674 1690246082 2104183898 3028849348 3380492164 4208367796 7364643643 14729287286 29458574572 51552505501 64177608889 103105011002 128355217778 206210022004 256710435556 449243262223 898486524446 1796973048892 3144702835561 6289405671122 12578811342244