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2780141429 = 1326124421
BaseRepresentation
bin1010010110110101…
…1001011101110101
321011202022211002002
42211231121131311
521143204011204
61135512025045
7125615545412
oct24555313565
97152284062
102780141429
1111a735444a
12657092185
13353c96300
141c5335109
1511411591e
hexa5b59775

2780141429 has 18 divisors (see below), whose sum is σ = 3061301958. Its totient is φ = 2523643200.

The previous prime is 2780141401. The next prime is 2780141431. The reversal of 2780141429 is 9241410872.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 2427828529 + 352312900 = 49273^2 + 18770^2 .

It is not a de Polignac number, because 2780141429 - 212 = 2780137333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2780141392 and 2780141401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2780141459) 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 17 ways as a sum of consecutive naturals, for example, 626639 + ... + 631059.

It is an arithmetic number, because the mean of its divisors is an integer number (170072331).

Almost surely, 22780141429 is an apocalyptic number.

It is an amenable number.

2780141429 is a deficient number, since it is larger than the sum of its proper divisors (281160529).

2780141429 is an equidigital number, since it uses as much as digits as its factorization.

2780141429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4569 (or 4495 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 2780141429 is about 52727.0464657371. The cubic root of 2780141429 is about 1406.1197119286.

The spelling of 2780141429 in words is "two billion, seven hundred eighty million, one hundred forty-one thousand, four hundred twenty-nine".

Divisors: 1 13 61 169 793 3721 4421 10309 48373 57473 269681 628849 747149 3505853 16450541 45576089 213857033 2780141429