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252665000241 = 31719761740759
BaseRepresentation
bin1110101101010000000…
…0011111000100110001
3220011011122202220011220
43223110000133010301
513114424220001431
6312023411455253
724153163031523
oct3532400370461
9804148686156
10252665000241
1198177895395
1240b74bb7529
131aa9823ca04
14c32c733a13
15688bc88b96
hex3ad401f131

252665000241 has 32 divisors (see below), whose sum is σ = 359104078080. Its totient is φ = 157470652416.

The previous prime is 252665000219. The next prime is 252665000279. The reversal of 252665000241 is 142000566252.

It is not a de Polignac number, because 252665000241 - 211 = 252664998193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (252665000201) 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 31 ways as a sum of consecutive naturals, for example, 6178620 + ... + 6219378.

It is an arithmetic number, because the mean of its divisors is an integer number (11222002440).

Almost surely, 2252665000241 is an apocalyptic number.

It is an amenable number.

252665000241 is a deficient number, since it is larger than the sum of its proper divisors (106439077839).

252665000241 is a wasteful number, since it uses less digits than its factorization.

252665000241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41593.

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 252665000241 its reverse (142000566252), we get a palindrome (394665566493).

The spelling of 252665000241 in words is "two hundred fifty-two billion, six hundred sixty-five million, two hundred forty-one", and thus it is an aban number.

Divisors: 1 3 17 51 197 591 617 1851 3349 10047 10489 31467 40759 121549 122277 364647 692903 2066333 2078709 6198999 8029523 24088569 25148303 75444909 136501891 409505673 427521151 1282563453 4954215691 14862647073 84221666747 252665000241