Search a number
-
+
2677681716 = 2231271919199
BaseRepresentation
bin1001111110011010…
…0010111000110100
320220121112022202220
42133212202320310
520440441303331
61121412002340
7123232630143
oct23746427064
96817468686
102677681716
1111545329a6
126289003b0
133389a1068
141b58a375a
1510a127296
hex9f9a2e34

2677681716 has 48 divisors (see below), whose sum is σ = 6330777600. Its totient is φ = 880800480.

The previous prime is 2677681711. The next prime is 2677681729. The reversal of 2677681716 is 6171867762.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2677681711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286485 + ... + 295683.

It is an arithmetic number, because the mean of its divisors is an integer number (131891200).

Almost surely, 22677681716 is an apocalyptic number.

It is an amenable number.

2677681716 is an abundant number, since it is smaller than the sum of its proper divisors (3653095884).

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

2677681716 is a wasteful number, since it uses less digits than its factorization.

2677681716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9524 (or 9522 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 51.

The square root of 2677681716 is about 51746.3207967484. The cubic root of 2677681716 is about 1388.6292779273.

The spelling of 2677681716 in words is "two billion, six hundred seventy-seven million, six hundred eighty-one thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 12 127 191 254 381 382 508 573 762 764 1146 1524 2292 9199 18398 24257 27597 36796 48514 55194 72771 97028 110388 145542 291084 1168273 1757009 2336546 3504819 3514018 4673092 5271027 7009638 7028036 10542054 14019276 21084108 223140143 446280286 669420429 892560572 1338840858 2677681716