Search a number
-
+
2813722681 = 71194138833
BaseRepresentation
bin1010011110110110…
…0000000000111001
321021002111220220011
42213231200000321
521230303111211
61143111501521
7126504151060
oct24755400071
97232456804
102813722681
111214300550
126663878a1
1335ac23383
141c99971d7
1511704a921
hexa7b60039

2813722681 has 16 divisors (see below), whose sum is σ = 3511836288. Its totient is φ = 2190124800.

The previous prime is 2813722663. The next prime is 2813722699. The reversal of 2813722681 is 1862273182.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2813722663) and next prime (2813722699).

It is a cyclic number.

It is not a de Polignac number, because 2813722681 - 215 = 2813689913 is a prime.

It is a super-3 number, since 3×28137226813 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2813722601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53041 + ... + 91873.

It is an arithmetic number, because the mean of its divisors is an integer number (219489768).

Almost surely, 22813722681 is an apocalyptic number.

It is an amenable number.

2813722681 is a deficient number, since it is larger than the sum of its proper divisors (698113607).

2813722681 is a wasteful number, since it uses less digits than its factorization.

2813722681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39792.

The product of its digits is 64512, while the sum is 40.

The square root of 2813722681 is about 53044.5348834354. The cubic root of 2813722681 is about 1411.7585624649.

The spelling of 2813722681 in words is "two billion, eight hundred thirteen million, seven hundred twenty-two thousand, six hundred eighty-one".

Divisors: 1 7 11 77 941 6587 10351 38833 72457 271831 427163 2990141 36541853 255792971 401960383 2813722681