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25665321616 = 241143312
BaseRepresentation
bin10111111001110001…
…011011101010010000
32110020122211102111021
4113321301123222100
5410030310242431
615442424525224
71566003430354
oct277161335220
973218742437
1025665321616
11a980450000
124b83320814
13256032334c
141356895464
15a032e4b11
hex5f9c5ba90

25665321616 has 75 divisors (see below), whose sum is σ = 54864629715. Its totient is φ = 11630810400.

The previous prime is 25665321611. The next prime is 25665321629. The reversal of 25665321616 is 61612356652.

The square root of 25665321616 is 160204.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25665321611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 77538571 + ... + 77538901.

Almost surely, 225665321616 is an apocalyptic number.

25665321616 is the 160204-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25665321616

25665321616 is an abundant number, since it is smaller than the sum of its proper divisors (29199308099).

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

25665321616 is an frugal number, since it uses more digits than its factorization.

25665321616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 344 counting only the distinct ones).

The product of its digits is 388800, while the sum is 43.

The spelling of 25665321616 in words is "twenty-five billion, six hundred sixty-five million, three hundred twenty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 331 484 662 968 1324 1331 1936 2648 2662 3641 5296 5324 7282 10648 14564 14641 21296 29128 29282 40051 58256 58564 80102 109561 117128 160204 219122 234256 320408 438244 440561 640816 876488 881122 1205171 1752976 1762244 2410342 3524488 4820684 4846171 7048976 9641368 9692342 13256881 19282736 19384684 26513762 38769368 53027524 77538736 106055048 145825691 212110096 291651382 583302764 1166605528 1604082601 2333211056 3208165202 6416330404 12832660808 25665321616