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2325261143296 = 28713611636291
BaseRepresentation
bin100001110101100100010…
…111010100110100000000
322020021220110001220210001
4201311210113110310000
5301044113323041141
64540113224045344
7326665065414460
oct41654427246400
98207813056701
102325261143296
11817157328a13
12316799303854
1313b36aa40c40
1480786915ba0
1540743244a31
hex21d645d4d00

2325261143296 has 144 divisors (see below), whose sum is σ = 5806192352128. Its totient is φ = 904802918400.

The previous prime is 2325261143243. The next prime is 2325261143299. The reversal of 2325261143296 is 6923411625232.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2325261143299) 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 15 ways as a sum of consecutive naturals, for example, 602911 + ... + 2239201.

Almost surely, 22325261143296 is an apocalyptic number.

2325261143296 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2325261143296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903096176064).

2325261143296 is an abundant number, since it is smaller than the sum of its proper divisors (3480931208832).

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

2325261143296 is a wasteful number, since it uses less digits than its factorization.

2325261143296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636388 (or 1636374 counting only the distinct ones).

The product of its digits is 933120, while the sum is 46.

The spelling of 2325261143296 in words is "two trillion, three hundred twenty-five billion, two hundred sixty-one million, one hundred forty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 61 64 91 104 112 122 128 182 208 224 244 256 364 416 427 448 488 728 793 832 854 896 976 1456 1586 1664 1708 1792 1952 2912 3172 3328 3416 3904 5551 5824 6344 6832 7808 11102 11648 12688 13664 15616 22204 23296 25376 27328 44408 50752 54656 88816 101504 109312 177632 203008 355264 710528 1421056 1636291 3272582 6545164 11454037 13090328 21271783 22908074 26180656 42543566 45816148 52361312 85087132 91632296 99813751 104722624 148902481 170174264 183264592 199627502 209445248 297804962 340348528 366529184 399255004 418890496 595609924 680697056 698696257 733058368 798510008 1191219848 1297578763 1361394112 1397392514 1466116736 1597020016 2382439696 2595157526 2722788224 2794785028 2932233472 3194040032 4764879392 5190315052 5445576448 5589570056 6388080064 9083051341 9529758784 10380630104 11179140112 12776160128 18166102682 19059517568 20761260208 22358280224 25552320256 36332205364 38119035136 41522520416 44716560448 72664410728 83045040832 89433120896 145328821456 166090081664 178866241792 290657642912 332180163328 581315285824 1162630571648 2325261143296