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3135316416 = 26332515023
BaseRepresentation
bin1011101011100001…
…0010000111000000
322002111122120120020
42322320102013000
522410120111131
61235040413440
7140460515121
oct27270220700
98074576506
103135316416
1113698936a1
12736017280
133ac741b1b
1421a58c048
151353c2996
hexbae121c0

3135316416 has 56 divisors (see below), whose sum is σ = 8299728384. Its totient is φ = 1044576000.

The previous prime is 3135316381. The next prime is 3135316427. The reversal of 3135316416 is 6146135313.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 621681 + ... + 626703.

Almost surely, 23135316416 is an apocalyptic number.

It is an amenable number.

3135316416 is an abundant number, since it is smaller than the sum of its proper divisors (5164411968).

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

3135316416 is a wasteful number, since it uses less digits than its factorization.

3135316416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8289 (or 8279 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 3135316416 is about 55993.8962387866. The cubic root of 3135316416 is about 1463.6159224186.

The spelling of 3135316416 in words is "three billion, one hundred thirty-five million, three hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 3251 5023 6502 9753 10046 13004 15069 19506 20092 26008 30138 39012 40184 52016 60276 78024 80368 104032 120552 156048 160736 208064 241104 312096 321472 482208 624192 964416 16329773 32659546 48989319 65319092 97978638 130638184 195957276 261276368 391914552 522552736 783829104 1045105472 1567658208 3135316416