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258201663929 = 1122133898049
BaseRepresentation
bin1111000001111000000…
…1001011100110111001
3220200110111222112220222
43300132001023212321
513212244111221204
6314341033425425
724440322634256
oct3603601134671
9820414875828
10258201663929
119a559120800
124205b26b275
131b46b31c781
14c6d5bb242d
156ab2d9babe
hex3c1e04b9b9

258201663929 has 6 divisors (see below), whose sum is σ = 283808440650. Its totient is φ = 234728785280.

The previous prime is 258201663917. The next prime is 258201663931. The reversal of 258201663929 is 929366102852.

258201663929 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 170201628025 + 88000035904 = 412555^2 + 296648^2 .

It is not a de Polignac number, because 258201663929 - 216 = 258201598393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (258201663029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1066948904 + ... + 1066949145.

It is an arithmetic number, because the mean of its divisors is an integer number (47301406775).

Almost surely, 2258201663929 is an apocalyptic number.

It is an amenable number.

258201663929 is a deficient number, since it is larger than the sum of its proper divisors (25606776721).

258201663929 is a wasteful number, since it uses less digits than its factorization.

258201663929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133898071 (or 2133898060 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 53.

The spelling of 258201663929 in words is "two hundred fifty-eight billion, two hundred one million, six hundred sixty-three thousand, nine hundred twenty-nine".

Divisors: 1 11 121 2133898049 23472878539 258201663929