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25350689961 = 3658972
BaseRepresentation
bin10111100111000001…
…001101010010101001
32102102201210111000000
4113213001031102221
5403404234034321
615351305133213
71555133211042
oct274701152251
972381714000
1025350689961
11a829892643
124ab5a8a209
1325100a177c
141326b938c9
159d5895826
hex5e704d4a9

25350689961 has 21 divisors (see below), whose sum is σ = 38015094151. Its totient is φ = 16897594032.

The previous prime is 25350689939. The next prime is 25350689963. The reversal of 25350689961 is 16998605352.

It is a happy number.

The square root of 25350689961 is 159219.

It is a perfect power (a square), and thus also a powerful number.

25350689961 is a `hidden beast` number, since 2 + 53 + 506 + 89 + 9 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23312709225 + 2037980736 = 152685^2 + 45144^2 .

It is not a de Polignac number, because 25350689961 - 25 = 25350689929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 25350689898 and 25350689907.

It is not an unprimeable number, because it can be changed into a prime (25350689963) 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 20 ways as a sum of consecutive naturals, for example, 4295965 + ... + 4301861.

Almost surely, 225350689961 is an apocalyptic number.

25350689961 is the 159219-th square number.

25350689961 is the 79610-th centered octagonal number.

It is an amenable number.

25350689961 is a deficient number, since it is larger than the sum of its proper divisors (12664404190).

25350689961 is an frugal number, since it uses more digits than its factorization.

25350689961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11812 (or 5900 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 25350689961 in words is "twenty-five billion, three hundred fifty million, six hundred eighty-nine thousand, nine hundred sixty-one".

Divisors: 1 3 9 27 81 243 729 5897 17691 53073 159219 477657 1432971 4298913 34774609 104323827 312971481 938914443 2816743329 8450229987 25350689961