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25921414272 = 273137965729
BaseRepresentation
bin11000001001000010…
…010110010010000000
32110220111201021120110
4120021002112102000
5411041340224042
615524053511320
71605233246235
oct301102262200
973814637513
1025921414272
11aaa1a65226
125035042540
1325a13b9c70
14137c8b978c
15a1aa2e09c
hex609096480

25921414272 has 128 divisors (see below), whose sum is σ = 75089952000. Its totient is φ = 7874740224.

The previous prime is 25921414217. The next prime is 25921414279. The reversal of 25921414272 is 27241412952.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 25921414272.

It is not an unprimeable number, because it can be changed into a prime (25921414279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361504 + ... + 427232.

It is an arithmetic number, because the mean of its divisors is an integer number (586640250).

Almost surely, 225921414272 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 25921414272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37544976000).

25921414272 is an abundant number, since it is smaller than the sum of its proper divisors (49168537728).

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

25921414272 is a wasteful number, since it uses less digits than its factorization.

25921414272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65838 (or 65826 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The spelling of 25921414272 in words is "twenty-five billion, nine hundred twenty-one million, four hundred fourteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 79 96 104 128 156 158 192 208 237 312 316 384 416 474 624 632 832 948 1027 1248 1264 1664 1896 2054 2496 2528 3081 3792 4108 4992 5056 6162 7584 8216 10112 12324 15168 16432 24648 30336 32864 49296 65728 65729 98592 131456 131458 197184 197187 262916 394368 394374 525832 788748 854477 1051664 1577496 1708954 2103328 2563431 3154992 3417908 4206656 5126862 5192591 6309984 6835816 8413312 10253724 10385182 12619968 13671632 15577773 20507448 20770364 25239936 27343264 31155546 41014896 41540728 54686528 62311092 67503683 82029792 83081456 109373056 124622184 135007366 164059584 166162912 202511049 249244368 270014732 328119168 332325824 405022098 498488736 540029464 664651648 810044196 996977472 1080058928 1620088392 1993954944 2160117856 3240176784 4320235712 6480353568 8640471424 12960707136 25921414272