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25011441828 = 22321740868369
BaseRepresentation
bin10111010010110011…
…000101000010100100
32101120002102220001100
4113102303011002210
5402210412114303
615253510000100
71543543514322
oct272263050244
971502386040
1025011441828
11a67534148a
124a20346030
132487a11429
1412d3ac4d12
159b5bd28a3
hex5d2cc50a4

25011441828 has 36 divisors (see below), whose sum is σ = 66942390060. Its totient is φ = 7846726656.

The previous prime is 25011441827. The next prime is 25011441869. The reversal of 25011441828 is 82814411052.

25011441828 is a `hidden beast` number, since 2 + 501 + 144 + 1 + 8 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14153385024 + 10858056804 = 118968^2 + 104202^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25011441792 and 25011441801.

It is not an unprimeable number, because it can be changed into a prime (25011441827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20433573 + ... + 20434796.

It is an arithmetic number, because the mean of its divisors is an integer number (1859510835).

Almost surely, 225011441828 is an apocalyptic number.

It is an amenable number.

25011441828 is an abundant number, since it is smaller than the sum of its proper divisors (41930948232).

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

25011441828 is a wasteful number, since it uses less digits than its factorization.

25011441828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40868396 (or 40868391 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 25011441828 in words is "twenty-five billion, eleven million, four hundred forty-one thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 40868369 81736738 122605107 163473476 245210214 367815321 490420428 694762273 735630642 1389524546 1471261284 2084286819 2779049092 4168573638 6252860457 8337147276 12505720914 25011441828