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1047648461209 = 721462212
BaseRepresentation
bin11110011111011001011…
…01101110000110011001
310201011011102102001022121
433033230231232012121
5114131041001224314
62121141050221241
7135455463663400
oct17175455560631
93634142361277
101047648461209
1137433a276059
1214b05b424821
1377a3cab979c
14389c6730637
151c3b9958d24
hexf3ecb6e199

1047648461209 has 9 divisors (see below), whose sum is σ = 1218701442591. Its totient is φ = 897978254040.

The previous prime is 1047648461179. The next prime is 1047648461227. The reversal of 1047648461209 is 9021648467401.

It is a happy number.

The square root of 1047648461209 is 1023547.

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

It can be written as a sum of positive squares in only one way, i.e., 708295609609 + 339352851600 = 841603^2 + 582540^2 .

It is not a de Polignac number, because 1047648461209 - 223 = 1047640072601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1047648461239) 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, 7091719 + ... + 7237939.

It is an arithmetic number, because the mean of its divisors is an integer number (135411271399).

Almost surely, 21047648461209 is an apocalyptic number.

1047648461209 is the 1023547-th square number.

1047648461209 is the 511774-th centered octagonal number.

It is an amenable number.

1047648461209 is a deficient number, since it is larger than the sum of its proper divisors (171052981382).

1047648461209 is an frugal number, since it uses more digits than its factorization.

1047648461209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292456 (or 146228 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 1047648461209 in words is "one trillion, forty-seven billion, six hundred forty-eight million, four hundred sixty-one thousand, two hundred nine".

Divisors: 1 7 49 146221 1023547 7164829 21380580841 149664065887 1047648461209