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25053205128 = 23371072415783
BaseRepresentation
bin10111010101010010…
…011001001010001000
32101200000000200112020
4113111102121022020
5402302110031003
615302001044440
71544561505240
oct272522311210
971600020466
1025053205128
11a696976906
124a32326720
132493574743
1412d9476b20
159b96d1d53
hex5d5499288

25053205128 has 128 divisors (see below), whose sum is σ = 72561899520. Its totient is φ = 7060515840.

The previous prime is 25053205127. The next prime is 25053205159. The reversal of 25053205128 is 82150235052.

It is not an unprimeable number, because it can be changed into a prime (25053205123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4329325 + ... + 4335107.

It is an arithmetic number, because the mean of its divisors is an integer number (566889840).

Almost surely, 225053205128 is an apocalyptic number.

25053205128 is a gapful number since it is divisible by the number (28) 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 25053205128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36280949760).

25053205128 is an abundant number, since it is smaller than the sum of its proper divisors (47508694392).

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

25053205128 is a wasteful number, since it uses less digits than its factorization.

25053205128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6147 (or 6143 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

It can be divided in two parts, 25053 and 205128, that added together give a triangular number (230181 = T678).

The spelling of 25053205128 in words is "twenty-five billion, fifty-three million, two hundred five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 107 168 214 241 321 428 482 642 723 749 856 964 1284 1446 1498 1687 1928 2247 2568 2892 2996 3374 4494 5061 5783 5784 5992 6748 8988 10122 11566 13496 17349 17976 20244 23132 25787 34698 40481 40488 46264 51574 69396 77361 80962 103148 121443 138792 154722 161924 180509 206296 242886 309444 323848 361018 485772 541527 618781 618888 722036 971544 1083054 1237562 1393703 1444072 1856343 2166108 2475124 2787406 3712686 4181109 4331467 4332216 4950248 5574812 7425372 8362218 8662934 9755921 11149624 12994401 14850744 16724436 17325868 19511842 25988802 29267763 33448872 34651736 39023684 51977604 58535526 78047368 103955208 117071052 149126221 234142104 298252442 447378663 596504884 894757326 1043883547 1193009768 1789514652 2087767094 3131650641 3579029304 4175534188 6263301282 8351068376 12526602564 25053205128