Search a number
-
+
4284283162201 = 722956932
BaseRepresentation
bin111110010110000011001…
…011010000111001011001
3120011120111001121122101121
4332112003023100321121
51030143202442142301
613040101132445241
7621346350006100
oct76260313207131
916146431548347
104284283162201
111401a55177019
125923a5919821
13251010724c03
1410b508d7d037
157669d9583a1
hex3e5832d0e59

4284283162201 has 9 divisors (see below), whose sum is σ = 4983774818751. Its totient is φ = 3672230291352.

The previous prime is 4284283162163. The next prime is 4284283162219. The reversal of 4284283162201 is 1022613824824.

The square root of 4284283162201 is 2069851.

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

4284283162201 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., 724417225 + 4283558744976 = 26915^2 + 2069676^2 .

It is not a de Polignac number, because 4284283162201 - 227 = 4284148944473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4284283162301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14341111 + ... + 14636803.

It is an arithmetic number, because the mean of its divisors is an integer number (553752757639).

Almost surely, 24284283162201 is an apocalyptic number.

4284283162201 is the 2069851-st square number.

4284283162201 is the 1034926-th centered octagonal number.

It is an amenable number.

4284283162201 is a deficient number, since it is larger than the sum of its proper divisors (699491656550).

4284283162201 is an frugal number, since it uses more digits than its factorization.

4284283162201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591400 (or 295700 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 43.

The spelling of 4284283162201 in words is "four trillion, two hundred eighty-four billion, two hundred eighty-three million, one hundred sixty-two thousand, two hundred one".

Divisors: 1 7 49 295693 2069851 14488957 87434350249 612040451743 4284283162201