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25430149000 = 2353475091063
BaseRepresentation
bin10111101011110000…
…010100011110001000
32102122021022102022101
4113223300110132020
5404040104232000
615403224203144
71560116462044
oct275360243610
972567272271
1025430149000
11a86a724373
124b186094b4
1325236a2859
141333559024
159dc83de6a
hex5ebc14788

25430149000 has 128 divisors (see below), whose sum is σ = 60949324800. Its totient is φ = 9926726400.

The previous prime is 25430148977. The next prime is 25430149001. The reversal of 25430149000 is 94103452.

It is a self number, because there is not a number n which added to its sum of digits gives 25430149000.

It is not an unprimeable number, because it can be changed into a prime (25430149001) 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 31 ways as a sum of consecutive naturals, for example, 23922469 + ... + 23923531.

It is an arithmetic number, because the mean of its divisors is an integer number (476166600).

Almost surely, 225430149000 is an apocalyptic number.

25430149000 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 25430149000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30474662400).

25430149000 is an abundant number, since it is smaller than the sum of its proper divisors (35519175800).

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

25430149000 is a wasteful number, since it uses less digits than its factorization.

25430149000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 25430149000 in words is "twenty-five billion, four hundred thirty million, one hundred forty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 376 470 500 509 940 1000 1018 1063 1175 1880 2036 2126 2350 2545 4072 4252 4700 5090 5315 5875 8504 9400 10180 10630 11750 12725 20360 21260 23500 23923 25450 26575 42520 47000 47846 49961 50900 53150 63625 95692 99922 101800 106300 119615 127250 132875 191384 199844 212600 239230 249805 254500 265750 399688 478460 499610 509000 531500 541067 598075 956920 999220 1063000 1082134 1196150 1249025 1998440 2164268 2392300 2498050 2705335 2990375 4328536 4784600 4996100 5410670 5980750 6245125 9992200 10821340 11961500 12490250 13526675 21642680 23923000 24980500 25430149 27053350 49961000 50860298 54106700 67633375 101720596 108213400 127150745 135266750 203441192 254301490 270533500 508602980 541067000 635753725 1017205960 1271507450 2543014900 3178768625 5086029800 6357537250 12715074500 25430149000