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25813039000 = 2353719194083
BaseRepresentation
bin11000000010100100…
…111011011110011000
32110121221210020122111
4120002210323132120
5410331114222000
615505223002104
71602446132320
oct300244733630
973557706574
1025813039000
11aa46873291
125004899334
132584b03298
14136c348280
15a11272cba
hex60293b798

25813039000 has 128 divisors (see below), whose sum is σ = 72665049600. Its totient is φ = 8384342400.

The previous prime is 25813038947. The next prime is 25813039009. The reversal of 25813039000 is 93031852.

It is a happy number.

It is a super-3 number, since 3×258130390003 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25813039009) 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, 35959 + ... + 230041.

It is an arithmetic number, because the mean of its divisors is an integer number (567695700).

Almost surely, 225813039000 is an apocalyptic number.

25813039000 is a gapful number since it is divisible by the number (20) 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 25813039000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36332524800).

25813039000 is an abundant number, since it is smaller than the sum of its proper divisors (46852010600).

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

25813039000 is a wasteful number, since it uses less digits than its factorization.

25813039000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194130 (or 194116 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The spelling of 25813039000 in words is "twenty-five billion, eight hundred thirteen million, thirty-nine thousand".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 70 76 95 100 125 133 140 152 175 190 200 250 266 280 350 380 475 500 532 665 700 760 875 950 1000 1064 1330 1400 1750 1900 2375 2660 3325 3500 3800 4750 5320 6650 7000 9500 13300 16625 19000 26600 33250 66500 133000 194083 388166 776332 970415 1358581 1552664 1940830 2717162 3687577 3881660 4852075 5434324 6792905 7375154 7763320 9704150 10868648 13585810 14750308 18437885 19408300 24260375 25813039 27171620 29500616 33964525 36875770 38816600 48520750 51626078 54343240 67929050 73751540 92189425 97041500 103252156 129065195 135858100 147503080 169822625 184378850 194083000 206504312 258130390 271716200 339645250 368757700 460947125 516260780 645325975 679290500 737515400 921894250 1032521560 1290651950 1358581000 1843788500 2581303900 3226629875 3687577000 5162607800 6453259750 12906519500 25813039000