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25148641408 = 271122078093
BaseRepresentation
bin10111011010111110…
…011101000010000000
32101220122121100111021
4113122332131002000
5403001023011113
615315250355224
71550130632152
oct273276350200
971818540437
1025148641408
11a735830570
124a5a28bb14
1324aa27ac07
141307ddaad2
159c2c8448d
hex5daf9d080

25148641408 has 64 divisors (see below), whose sum is σ = 54686949120. Its totient is φ = 11424609280.

The previous prime is 25148641403. The next prime is 25148641451. The reversal of 25148641408 is 80414684152.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (25148641403) 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 7 ways as a sum of consecutive naturals, for example, 3103410 + ... + 3111502.

It is an arithmetic number, because the mean of its divisors is an integer number (854483580).

Almost surely, 225148641408 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 25148641408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27343474560).

25148641408 is an abundant number, since it is smaller than the sum of its proper divisors (29538307712).

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

25148641408 is a wasteful number, since it uses less digits than its factorization.

25148641408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10325 (or 10313 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 43.

The spelling of 25148641408 in words is "twenty-five billion, one hundred forty-eight million, six hundred forty-one thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 2207 4414 8093 8828 16186 17656 24277 32372 35312 48554 64744 70624 89023 97108 129488 141248 178046 194216 258976 282496 356092 388432 517952 712184 776864 1035904 1424368 1553728 2848736 3107456 5697472 11394944 17861251 35722502 71445004 142890008 196473761 285780016 392947522 571560032 785895044 1143120064 1571790088 2286240128 3143580176 6287160352 12574320704 25148641408