Search a number
-
+
25033533533052 = 2231110317209106993
BaseRepresentation
bin1011011000100100100101…
…10111111010101101111100
310021122011220222211121112120
411230102102313322231330
511240122134041024202
6125124125130402540
75162420204064402
oct554222267725574
9107564828747476
1025033533533052
117a81731069280
1229837bb890450
1310c786281a845
146278b5459472
152d62a65140bc
hex16c492dfab7c

25033533533052 has 96 divisors (see below), whose sum is σ = 64344719362560. Its totient is φ = 7511762810880.

The previous prime is 25033533533027. The next prime is 25033533533059.

25033533533052 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 25033533532995 and 25033533533013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25033533533059) 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, 233920068 + ... + 234027060.

It is an arithmetic number, because the mean of its divisors is an integer number (670257493360).

Almost surely, 225033533533052 is an apocalyptic number.

25033533533052 is a gapful number since it is divisible by the number (22) 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 25033533533052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32172359681280).

25033533533052 is an abundant number, since it is smaller than the sum of its proper divisors (39311185829508).

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

25033533533052 is a wasteful number, since it uses less digits than its factorization.

25033533533052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124323 (or 124321 counting only the distinct ones).

The product of its (nonzero) digits is 1822500, while the sum is 42.

The spelling of 25033533533052 in words is "twenty-five trillion, thirty-three billion, five hundred thirty-three million, five hundred thirty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 103 132 206 309 412 618 1133 1236 2266 3399 4532 6798 13596 17209 34418 51627 68836 103254 106993 189299 206508 213986 320979 378598 427972 567897 641958 757196 1135794 1176923 1283916 1772527 2271588 2353846 3530769 3545054 4707692 5317581 7061538 7090108 10635162 11020279 14123076 19497797 21270324 22040558 33060837 38995594 44081116 58493391 66121674 77991188 116986782 121223069 132243348 233973564 242446138 363669207 484892276 727338414 1454676828 1841242537 3682485074 5523727611 7364970148 11047455222 20253667907 22094910444 40507335814 60761003721 81014671628 121522007442 189647981311 243044014884 379295962622 568943943933 758591925244 1137887887866 2086127794421 2275775775732 4172255588842 6258383383263 8344511177684 12516766766526 25033533533052