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25011212112 = 2432738772713
BaseRepresentation
bin10111010010110010…
…001100111101010000
32101120002000012221100
4113102302030331100
5402210332241422
615253501024400
71543541536515
oct272262147520
971502005840
1025011212112
11a6751a4937
124a20255100
1324879609c3
1412d3a6530c
159b5b897ac
hex5d2c8cf50

25011212112 has 120 divisors (see below), whose sum is σ = 71062605224. Its totient is φ = 8210460672.

The previous prime is 25011212111. The next prime is 25011212129. The reversal of 25011212112 is 21121211052.

It can be written as a sum of positive squares in 4 ways, for example, as 16557512976 + 8453699136 = 128676^2 + 91944^2 .

It is a super-2 number, since 2×250112121122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25011212111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9217668 + ... + 9220380.

Almost surely, 225011212112 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 25011212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35531302612).

25011212112 is an abundant number, since it is smaller than the sum of its proper divisors (46051393112).

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

25011212112 is a wasteful number, since it uses less digits than its factorization.

25011212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 25011212112 its reverse (21121211052), we get a palindrome (46132423164).

The spelling of 25011212112 in words is "twenty-five billion, eleven million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 877 1168 1314 1752 1754 2628 2631 2713 3504 3508 5256 5262 5426 7016 7893 8139 10512 10524 10852 14032 15786 16278 21048 21704 24417 31572 32556 42096 43408 48834 63144 64021 65112 97668 126288 128042 130224 192063 195336 198049 256084 384126 390672 396098 512168 576189 594147 768252 792196 1024336 1152378 1188294 1536504 1584392 1782441 2304756 2376588 2379301 3073008 3168784 3564882 4609512 4753176 4758602 7129764 7137903 9219024 9506352 9517204 14259528 14275806 19034408 21413709 28519056 28551612 38068816 42827418 57103224 85654836 114206448 171309672 173688973 342619344 347377946 521066919 694755892 1042133838 1389511784 1563200757 2084267676 2779023568 3126401514 4168535352 6252803028 8337070704 12505606056 25011212112