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25425314244 = 223211254110789
BaseRepresentation
bin10111101011011101…
…111000000111000100
32102121221012210021100
4113223131320013010
5404032340023434
615402532420100
71560030414411
oct275335700704
972557183240
1025425314244
11a867a21a00
124b16a77630
13252269c055
141332a5b108
159dc1d6699
hex5eb7781c4

25425314244 has 108 divisors (see below), whose sum is σ = 70780522540. Its totient is φ = 7689686400.

The previous prime is 25425314231. The next prime is 25425314263. The reversal of 25425314244 is 44241352452.

25425314244 is a `hidden beast` number, since 2 + 5 + 42 + 531 + 42 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10805602500 + 14619711744 = 103950^2 + 120912^2 .

It is a super-2 number, since 2×254253142442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25425314199 and 25425314208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2351202 + ... + 2361990.

Almost surely, 225425314244 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 25425314244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35390261270).

25425314244 is an abundant number, since it is smaller than the sum of its proper divisors (45355208296).

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

25425314244 is a wasteful number, since it uses less digits than its factorization.

25425314244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11362 (or 11346 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

Adding to 25425314244 its reverse (44241352452), we get a palindrome (69666666696).

The spelling of 25425314244 in words is "twenty-five billion, four hundred twenty-five million, three hundred fourteen thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 541 726 1082 1089 1452 1623 2164 2178 3246 4356 4869 5951 6492 9738 10789 11902 17853 19476 21578 23804 32367 35706 43156 53559 64734 65461 71412 97101 107118 118679 129468 130922 194202 196383 214236 237358 261844 356037 388404 392766 474716 589149 712074 785532 1068111 1178298 1305469 1424148 2136222 2356596 2610938 3916407 4272444 5221876 5836849 7832814 11673698 11749221 15665628 17510547 23347396 23498442 35021094 46996884 52531641 64205339 70042188 105063282 128410678 192616017 210126564 256821356 385232034 577848051 706258729 770464068 1155696102 1412517458 2118776187 2311392204 2825034916 4237552374 6356328561 8475104748 12712657122 25425314244