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25468316480 = 265617312893
BaseRepresentation
bin10111101110000001…
…111010101101000000
32102201221010112020202
4113232001322231000
5404124342111410
615411110224332
71561062055355
oct275601725500
972657115222
1025468316480
11a88a223142
124b293550a8
13252b577269
14133865262c
159e0d7cca5
hex5ee07ab40

25468316480 has 56 divisors (see below), whose sum is σ = 60660957672. Its totient is φ = 10184886272.

The previous prime is 25468316473. The next prime is 25468316513. The reversal of 25468316480 is 8461386452.

It can be written as a sum of positive squares in 4 ways, for example, as 16581184 + 25451735296 = 4072^2 + 159536^2 .

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 1968914 + ... + 1981806.

It is an arithmetic number, because the mean of its divisors is an integer number (1083231387).

Almost surely, 225468316480 is an apocalyptic number.

25468316480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25468316480 is an abundant number, since it is smaller than the sum of its proper divisors (35192641192).

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

25468316480 is a wasteful number, since it uses less digits than its factorization.

25468316480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19083 (or 19073 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 47.

The spelling of 25468316480 in words is "twenty-five billion, four hundred sixty-eight million, three hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 6173 12346 12893 24692 25786 30865 49384 51572 61730 64465 98768 103144 123460 128930 197536 206288 246920 257860 395072 412576 493840 515720 825152 987680 1031440 1975360 2062880 4125760 79588489 159176978 318353956 397942445 636707912 795884890 1273415824 1591769780 2546831648 3183539560 5093663296 6367079120 12734158240 25468316480