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25563012000 = 253532130251
BaseRepresentation
bin10111110011101011…
…001001101110100000
32102222112022120002020
4113303223021232200
5404323112341000
615424332021440
71563322005531
oct276353115640
972875276066
1025563012000
11a9287212a9
124b55001880
132545081506
141347062688
159e9335ba0
hex5f3ac9ba0

25563012000 has 96 divisors (see below), whose sum is σ = 83744466624. Its totient is φ = 6816800000.

The previous prime is 25563011921. The next prime is 25563012001. The reversal of 25563012000 is 21036552.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (25563012001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1053126 + ... + 1077125.

It is an arithmetic number, because the mean of its divisors is an integer number (872338194).

Almost surely, 225563012000 is an apocalyptic number.

25563012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25563012000 is an abundant number, since it is smaller than the sum of its proper divisors (58181454624).

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

25563012000 is a wasteful number, since it uses less digits than its factorization.

25563012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130279 (or 2130261 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 25563012000 its reverse (21036552), we get a palindrome (25584048552).

The spelling of 25563012000 in words is "twenty-five billion, five hundred sixty-three million, twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 2130251 4260502 6390753 8521004 10651255 12781506 17042008 21302510 25563012 31953765 34084016 42605020 51126024 53256275 63907530 68168032 85210040 102252048 106512550 127815060 159768825 170420080 204504096 213025100 255630120 266281375 319537650 340840160 426050200 511260240 532562750 639075300 798844125 852100400 1022520480 1065125500 1278150600 1597688250 1704200800 2130251000 2556301200 3195376500 4260502000 5112602400 6390753000 8521004000 12781506000 25563012000