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3135062916 = 223287085081
BaseRepresentation
bin1011101011011101…
…0100001110000100
322002111011200211100
42322313110032010
522410034003131
61235031140100
7140455411056
oct27267241604
98074150740
103135062916
111369730197
12735b14630
133ac68361b
1421a5238d6
151353727e6
hexbadd4384

3135062916 has 18 divisors (see below), whose sum is σ = 7924742462. Its totient is φ = 1045020960.

The previous prime is 3135062869. The next prime is 3135062929. The reversal of 3135062916 is 6192605313.

3135062916 is a `hidden beast` number, since 3 + 13 + 5 + 0 + 629 + 16 = 666.

3135062916 is digitally balanced in base 2 and base 4, because in such bases 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., 2861822016 + 273240900 = 53496^2 + 16530^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 87085081 = 3135062916 / (3 + 1 + 3 + 5 + 0 + 6 + 2 + 9 + 1 + 6).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43542505 + ... + 43542576.

Almost surely, 23135062916 is an apocalyptic number.

3135062916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3135062916 is an abundant number, since it is smaller than the sum of its proper divisors (4789679546).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3135062916 is a wasteful number, since it uses less digits than its factorization.

3135062916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87085091 (or 87085086 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3135062916 is about 55991.6325534450. The cubic root of 3135062916 is about 1463.5764754020.

The spelling of 3135062916 in words is "three billion, one hundred thirty-five million, sixty-two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 87085081 174170162 261255243 348340324 522510486 783765729 1045020972 1567531458 3135062916