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3116782305 = 325713761119
BaseRepresentation
bin1011100111000110…
…0101001011100001
322001012202221112200
42321301211023201
522340344013210
61233135243413
7140144132610
oct27161451341
98035687480
103116782305
11135a38474a
1272b979569
133a89529b0
14217d25877
151339610c0
hexb9c652e1

3116782305 has 48 divisors (see below), whose sum is σ = 6649144320. Its totient is φ = 1315211904.

The previous prime is 3116782303. The next prime is 3116782307. The reversal of 3116782305 is 5032876113.

3116782305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3116782303) and next prime (3116782307).

It is not a de Polignac number, because 3116782305 - 21 = 3116782303 is a prime.

It is a super-2 number, since 2×31167823052 = 19428663873522226050, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3116782305.

It is not an unprimeable number, because it can be changed into a prime (3116782301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 376465 + ... + 384654.

It is an arithmetic number, because the mean of its divisors is an integer number (138523840).

Almost surely, 23116782305 is an apocalyptic number.

3116782305 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3116782305 is an abundant number, since it is smaller than the sum of its proper divisors (3532362015).

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

3116782305 is a wasteful number, since it uses less digits than its factorization.

3116782305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761150 (or 761147 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3116782305 is about 55828.1497544026. The cubic root of 3116782305 is about 1460.7262142149.

The spelling of 3116782305 in words is "three billion, one hundred sixteen million, seven hundred eighty-two thousand, three hundred five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 819 1365 4095 761119 2283357 3805595 5327833 6850071 9894547 11416785 15983499 26639165 29683641 34250355 47950497 49472735 69261829 79917495 89050923 148418205 207785487 239752485 346309145 445254615 623356461 1038927435 3116782305