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1311613434666 = 23383397737129
BaseRepresentation
bin10011000101100010010…
…000001011101100101010
311122101111121002001122000
4103011202100023230222
5132442141014402131
62442314043511430
7163522001146443
oct23054220135452
94571447061560
101311613434666
11466285654587
12192248828576
13968b9142682
14476a7adc2ca
15241b8787ce6
hex1316240bb2a

1311613434666 has 64 divisors (see below), whose sum is σ = 2957247619200. Its totient is φ = 430848367488.

The previous prime is 1311613434661. The next prime is 1311613434671. The reversal of 1311613434666 is 6664343161131.

It is an interprime number because it is at equal distance from previous prime (1311613434661) and next prime (1311613434671).

It is not an unprimeable number, because it can be changed into a prime (1311613434661) 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 31 ways as a sum of consecutive naturals, for example, 1410790 + ... + 2147918.

It is an arithmetic number, because the mean of its divisors is an integer number (46206994050).

Almost surely, 21311613434666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311613434666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478623809600).

1311613434666 is an abundant number, since it is smaller than the sum of its proper divisors (1645634184534).

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

1311613434666 is a wasteful number, since it uses less digits than its factorization.

1311613434666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737620 (or 737614 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

Adding to 1311613434666 its reverse (6664343161131), we get a palindrome (7975956595797).

The spelling of 1311613434666 in words is "one trillion, three hundred eleven billion, six hundred thirteen million, four hundred thirty-four thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 83 166 249 397 498 747 794 1191 1494 2241 2382 3573 4482 7146 10719 21438 32951 65902 98853 197706 296559 593118 737129 889677 1474258 1779354 2211387 4422774 6634161 13268322 19902483 39804966 61181707 122363414 183545121 292640213 367090242 550635363 585280426 877920639 1101270726 1651906089 1755841278 2633761917 3303812178 5267523834 7901285751 15802571502 24289137679 48578275358 72867413037 145734826074 218602239111 437204478222 655806717333 1311613434666