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3086517016 = 2311192383967
BaseRepresentation
bin1011011111111000…
…1000001100011000
321222002211022101001
42313332020030120
522310122021031
61230134434344
7136325650612
oct26776101430
97862738331
103086517016
111344292a10
127218029b4
133a25b703b
14213cc7db2
15130e83861
hexb7f88318

3086517016 has 128 divisors (see below), whose sum is σ = 7025356800. Its totient is φ = 1254718080.

The previous prime is 3086517013. The next prime is 3086517019. The reversal of 3086517016 is 6107156803.

3086517016 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 (3086517013) and next prime (3086517019).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3086517013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3191365 + ... + 3192331.

It is an arithmetic number, because the mean of its divisors is an integer number (54885600).

Almost surely, 23086517016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3086517016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3512678400).

3086517016 is an abundant number, since it is smaller than the sum of its proper divisors (3938839784).

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

3086517016 is a wasteful number, since it uses less digits than its factorization.

3086517016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 3086517016 is about 55556.4309148815. The cubic root of 3086517016 is about 1455.9827351231.

The spelling of 3086517016 in words is "three billion, eighty-six million, five hundred seventeen thousand, sixteen".

Divisors: 1 2 4 8 11 19 22 23 38 44 46 76 83 88 92 152 166 184 209 253 332 418 437 506 664 836 874 913 967 1012 1577 1672 1748 1826 1909 1934 2024 3154 3496 3652 3818 3868 4807 6308 7304 7636 7736 9614 10637 12616 15272 17347 18373 19228 20999 21274 22241 34694 36271 36746 38456 41998 42548 44482 69388 72542 73492 80261 83996 85096 88964 138776 145084 146984 160522 167992 177928 202103 244651 290168 321044 398981 404206 422579 489302 642088 797962 808412 845158 882871 978604 1524959 1595924 1616824 1690316 1765742 1846003 1957208 3049918 3191848 3380632 3531484 3692006 4648369 6099836 7062968 7384012 9296738 12199672 14768024 16774549 18593476 20306033 33549098 35074057 37186952 40612066 67098196 70148114 81224132 134196392 140296228 162448264 280592456 385814627 771629254 1543258508 3086517016