Search a number
-
+
25344063394000 = 245313974771669
BaseRepresentation
bin1011100001100110111111…
…11001010101000011010000
310022201212110100112222222121
411300303133321111003100
511310214120212102000
6125522522455144024
75224022342255101
oct560633771250320
9108655410488877
1025344063394000
1180913a208199a
122a13a23675014
13111ac200455b0
14638932c4a3a8
152de3cd346b1a
hex170cdfe550d0

25344063394000 has 80 divisors (see below), whose sum is σ = 65995941145680. Its totient is φ = 9357808012800.

The previous prime is 25344063393911. The next prime is 25344063394057. The reversal of 25344063394000 is 49336044352.

It can be written as a sum of positive squares in 8 ways, for example, as 11579755633216 + 13764307760784 = 3402904^2 + 3710028^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487359835 + ... + 487411834.

It is an arithmetic number, because the mean of its divisors is an integer number (824949264321).

Almost surely, 225344063394000 is an apocalyptic number.

25344063394000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25344063394000 is an abundant number, since it is smaller than the sum of its proper divisors (40651877751680).

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

25344063394000 is a wasteful number, since it uses less digits than its factorization.

25344063394000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974771705 (or 974771689 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 43.

The spelling of 25344063394000 in words is "twenty-five trillion, three hundred forty-four billion, sixty-three million, three hundred ninety-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 26000 974771669 1949543338 3899086676 4873858345 7798173352 9747716690 12672031697 15596346704 19495433380 24369291725 25344063394 38990866760 48738583450 50688126788 63360158485 77981733520 97477166900 101376253576 121846458625 126720316970 194954333800 202752507152 243692917250 253440633940 316800792425 389908667600 487385834500 506881267880 633601584850 974771669000 1013762535760 1267203169700 1584003962125 1949543338000 2534406339400 3168007924250 5068812678800 6336015848500 12672031697000 25344063394000