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2687395014 = 2327113715349
BaseRepresentation
bin1010000000101110…
…0110010011000110
320221021210210220200
42200023212103012
521000433120024
61122400111330
7123411323613
oct24013462306
96837723820
102687395014
111159a67717
12630005546
1333a9c2285
141b6cb150a
1510ade52c9
hexa02e64c6

2687395014 has 48 divisors (see below), whose sum is σ = 5948186400. Its totient is φ = 876677760.

The previous prime is 2687395013. The next prime is 2687395019. The reversal of 2687395014 is 4105937862.

2687395014 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×26873950142 = 14444183922544120392, which contains 22 as substring.

2687395014 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2687395013) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 167412 + ... + 182760.

It is an arithmetic number, because the mean of its divisors is an integer number (123920550).

It is a 1-persistent number, because it is pandigital, but 2⋅2687395014 = 5374790028 is not.

Almost surely, 22687395014 is an apocalyptic number.

2687395014 is an abundant number, since it is smaller than the sum of its proper divisors (3260791386).

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

2687395014 is a wasteful number, since it uses less digits than its factorization.

2687395014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15565 (or 15562 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2687395014 is about 51840.0907985316. The cubic root of 2687395014 is about 1390.3063372579.

The spelling of 2687395014 in words is "two billion, six hundred eighty-seven million, three hundred ninety-five thousand, fourteen".

Divisors: 1 2 3 6 9 18 71 137 142 213 274 411 426 639 822 1233 1278 2466 9727 15349 19454 29181 30698 46047 58362 87543 92094 138141 175086 276282 1089779 2102813 2179558 3269337 4205626 6308439 6538674 9808011 12616878 18925317 19616022 37850634 149299723 298599446 447899169 895798338 1343697507 2687395014