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25787330201 = 1011061240641
BaseRepresentation
bin11000000001000010…
…110110111010011001
32110120011102002210202
4120001002312322121
5410303024031301
615502503551545
71602014455463
oct300102667231
973504362722
1025787330201
11aa33303946
124bb815b5b5
13257c6a1589
141368b75133
15a0dd9566b
hex6010b6e99

25787330201 has 8 divisors (see below), whose sum is σ = 26067304008. Its totient is φ = 25507840000.

The previous prime is 25787330197. The next prime is 25787330203. The reversal of 25787330201 is 10203378752.

It can be written as a sum of positive squares in 4 ways, for example, as 5726856976 + 20060473225 = 75676^2 + 141635^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 5-Lehmer number, since φ(25787330201) divides (25787330201-1)5.

It is a cyclic number.

It is not a de Polignac number, because 25787330201 - 22 = 25787330197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25787330203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13160 + ... + 227481.

It is an arithmetic number, because the mean of its divisors is an integer number (3258413001).

Almost surely, 225787330201 is an apocalyptic number.

25787330201 is the 71816-th centered decagonal number.

It is an amenable number.

25787330201 is a deficient number, since it is larger than the sum of its proper divisors (279973807).

25787330201 is a wasteful number, since it uses less digits than its factorization.

25787330201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241803.

The product of its (nonzero) digits is 70560, while the sum is 38.

The spelling of 25787330201 in words is "twenty-five billion, seven hundred eighty-seven million, three hundred thirty thousand, two hundred one".

Divisors: 1 101 1061 107161 240641 24304741 255320101 25787330201