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25780489344 = 2732191117167
BaseRepresentation
bin11000000000101000…
…110000110010000000
32110112200112112220200
4120000220300302000
5410244301124334
615502101205200
71601602354341
oct300050606200
973480475820
1025780489344
11aa2a461245
124bb5a00800
13257b14792c
141367cb40c8
15a0d493799
hex600a30c80

25780489344 has 96 divisors (see below), whose sum is σ = 74575088640. Its totient is φ = 8548431360.

The previous prime is 25780489327. The next prime is 25780489387. The reversal of 25780489344 is 44398408752.

25780489344 is a `hidden beast` number, since 2 + 57 + 80 + 489 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161449 + ... + 278615.

It is an arithmetic number, because the mean of its divisors is an integer number (776823840).

Almost surely, 225780489344 is an apocalyptic number.

25780489344 is a gapful number since it is divisible by the number (24) 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 25780489344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37287544320).

25780489344 is an abundant number, since it is smaller than the sum of its proper divisors (48794599296).

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

25780489344 is a wasteful number, since it uses less digits than its factorization.

25780489344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117378 (or 117363 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 25780489344 in words is "twenty-five billion, seven hundred eighty million, four hundred eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 191 192 288 382 384 573 576 764 1146 1152 1528 1719 2292 3056 3438 4584 6112 6876 9168 12224 13752 18336 24448 27504 36672 55008 73344 110016 117167 220032 234334 351501 468668 703002 937336 1054503 1406004 1874672 2109006 2812008 3749344 4218012 5624016 7498688 8436024 11248032 14997376 16872048 22378897 22496064 33744096 44757794 44992128 67136691 67488192 89515588 134273382 134976384 179031176 201410073 268546764 358062352 402820146 537093528 716124704 805640292 1074187056 1432249408 1611280584 2148374112 2864498816 3222561168 4296748224 6445122336 8593496448 12890244672 25780489344