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25001125344 = 25321317392803
BaseRepresentation
bin10111010010001011…
…101110010111100000
32101112101000202111100
4113102023232113200
5402200242002334
615252500514400
71543360026156
oct272213562740
971471022440
1025001125344
11a66a535568
124a189aba00
13248583b7c0
1412d259b3d6
159b4d45c99
hex5d22ee5e0

25001125344 has 144 divisors (see below), whose sum is σ = 81070031952. Its totient is φ = 7240126464.

The previous prime is 25001125343. The next prime is 25001125349. The reversal of 25001125344 is 44352110052.

25001125344 is a `hidden beast` number, since 2 + 500 + 1 + 125 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25001125343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132754 + ... + 260049.

It is an arithmetic number, because the mean of its divisors is an integer number (562986333).

Almost surely, 225001125344 is an apocalyptic number.

25001125344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

25001125344 is an abundant number, since it is smaller than the sum of its proper divisors (56068906608).

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

25001125344 is a wasteful number, since it uses less digits than its factorization.

25001125344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392849 (or 392838 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 25001125344 its reverse (44352110052), we get a palindrome (69353235396).

It can be divided in two parts, 2500 and 1125344, that added together give a square (1127844 = 10622).

The spelling of 25001125344 in words is "twenty-five billion, one million, one hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 32 34 36 39 48 51 52 68 72 78 96 102 104 117 136 144 153 156 204 208 221 234 272 288 306 312 408 416 442 468 544 612 624 663 816 884 936 1224 1248 1326 1632 1768 1872 1989 2448 2652 3536 3744 3978 4896 5304 7072 7956 10608 15912 21216 31824 63648 392803 785606 1178409 1571212 2356818 3142424 3535227 4713636 5106439 6284848 6677651 7070454 9427272 10212878 12569696 13355302 14140908 15319317 18854544 20032953 20425756 26710604 28281816 30638634 37709088 40065906 40851512 45957951 53421208 56563632 60098859 61277268 80131812 81703024 86809463 91915902 106842416 113127264 120197718 122554536 160263624 163406048 173618926 183831804 213684832 240395436 245109072 260428389 320527248 347237852 367663608 480790872 490218144 520856778 641054496 694475704 735327216 781285167 961581744 1041713556 1388951408 1470654432 1562570334 1923163488 2083427112 2777902816 3125140668 4166854224 6250281336 8333708448 12500562672 25001125344