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25704318416 = 2471912795111
BaseRepresentation
bin10111111100000110…
…001100010111010000
32110100101012200001012
4113330012030113100
5410120301142131
615450340430052
71566656046560
oct277406142720
973311180035
1025704318416
11a9a0465967
124b943a8328
13256842838a
14135bb26da0
15a0694952b
hex5fc18c5d0

25704318416 has 80 divisors (see below), whose sum is σ = 60384706560. Its totient is φ = 10354055040.

The previous prime is 25704318373. The next prime is 25704318481. The reversal of 25704318416 is 61481340752.

It is a super-2 number, since 2×257043184162 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 222701 + ... + 317811.

It is an arithmetic number, because the mean of its divisors is an integer number (754808832).

Almost surely, 225704318416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25704318416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30192353280).

25704318416 is an abundant number, since it is smaller than the sum of its proper divisors (34680388144).

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

25704318416 is a wasteful number, since it uses less digits than its factorization.

25704318416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95272 (or 95266 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 25704318416 in words is "twenty-five billion, seven hundred four million, three hundred eighteen thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 127 133 152 254 266 304 508 532 889 1016 1064 1778 2032 2128 2413 3556 4826 7112 9652 14224 16891 19304 33782 38608 67564 95111 135128 190222 270256 380444 665777 760888 1331554 1521776 1807109 2663108 3614218 5326216 7228436 10652432 12079097 12649763 14456872 24158194 25299526 28913744 48316388 50599052 84553679 96632776 101198104 169107358 193265552 202396208 229502843 338214716 459005686 676429432 918011372 1352858864 1606519901 1836022744 3213039802 3672045488 6426079604 12852159208 25704318416