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2425204000000 = 2856606301
BaseRepresentation
bin100011010010101001011…
…011000100010100000000
322120211212122012002011101
4203102221123010110000
5304213304211000000
65054042350224144
7340133546604445
oct43225133042400
98524778162141
102425204000000
11855583484451
1233202bab5054
13147907763a82
148554813d9cc
1543142442e6a
hex234a96c4500

2425204000000 has 126 divisors (see below), whose sum is σ = 6051100708982. Its totient is φ = 970080000000.

The previous prime is 2425203999997. The next prime is 2425204000033. The reversal of 2425204000000 is 4025242.

It can be written as a sum of positive squares in 7 ways, for example, as 2276380877824 + 148823122176 = 1508768^2 + 385776^2 .

It is a super-2 number, since 2×24252040000002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 3696850 + ... + 4303150.

Almost surely, 22425204000000 is an apocalyptic number.

2425204000000 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 2425204000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025550354491).

2425204000000 is an abundant number, since it is smaller than the sum of its proper divisors (3625896708982).

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

2425204000000 is an frugal number, since it uses more digits than its factorization.

2425204000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606347 (or 606308 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

Adding to 2425204000000 its reverse (4025242), we get a palindrome (2425208025242).

The spelling of 2425204000000 in words is "two trillion, four hundred twenty-five billion, two hundred four million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 31250 32000 40000 50000 62500 80000 100000 125000 160000 200000 250000 400000 500000 606301 800000 1000000 1212602 2000000 2425204 3031505 4000000 4850408 6063010 9700816 12126020 15157525 19401632 24252040 30315050 38803264 48504080 60630100 75787625 77606528 97008160 121260200 151575250 155213056 194016320 242520400 303150500 378938125 388032640 485040800 606301000 757876250 776065280 970081600 1212602000 1515752500 1894690625 1940163200 2425204000 3031505000 3789381250 3880326400 4850408000 6063010000 7578762500 9473453125 9700816000 12126020000 15157525000 18946906250 19401632000 24252040000 30315050000 37893812500 48504080000 60630100000 75787625000 97008160000 121260200000 151575250000 242520400000 303150500000 485040800000 606301000000 1212602000000 2425204000000