Search a number
-
+
13068782468511 = 3711334316923367
BaseRepresentation
bin1011111000101101000000…
…1000101111110110011111
31201021100210220211221221020
42332023100020233312133
53203104331302443021
643443414335335223
72516121420054510
oct276132010576637
951240726757836
1013068782468511
1141894920013a0
121570998981513
1373a4c4ab0923
14332765066a07
15179e37e477c6
hexbe2d022fd9f

13068782468511 has 32 divisors (see below), whose sum is σ = 21731229155328. Its totient is φ = 6786946700640.

The previous prime is 13068782468471. The next prime is 13068782468563. The reversal of 13068782468511 is 11586428786031.

It is not a de Polignac number, because 13068782468511 - 26 = 13068782468447 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13068782468411) 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, 7689451 + ... + 9233916.

It is an arithmetic number, because the mean of its divisors is an integer number (679100911104).

Almost surely, 213068782468511 is an apocalyptic number.

13068782468511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13068782468511 is a deficient number, since it is larger than the sum of its proper divisors (8662446686817).

13068782468511 is a wasteful number, since it uses less digits than its factorization.

13068782468511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16926731.

The product of its (nonzero) digits is 15482880, while the sum is 60.

The spelling of 13068782468511 in words is "thirteen trillion, sixty-eight billion, seven hundred eighty-two million, four hundred sixty-eight thousand, five hundred eleven".

Divisors: 1 3 7 11 21 33 77 231 3343 10029 23401 36773 70203 110319 257411 772233 16923367 50770101 118463569 186157037 355390707 558471111 1303099259 3909297777 56574815881 169724447643 396023711167 622322974691 1188071133501 1866968924073 4356260822837 13068782468511