Search a number
-
+
1369792311690 = 2351147295729867
BaseRepresentation
bin10011111011101101111…
…110111111000110001010
311211221200011220020022010
4103323231332333012022
5134420313312433230
62525135055040350
7200651505352635
oct23735576770612
94757604806263
101369792311690
11488a2005aa30
121a15848100b6
139c22b4c51aa
144a42677ac1c
15259711ad9b0
hex13eedfbf18a

1369792311690 has 128 divisors (see below), whose sum is σ = 3664032288768. Its totient is φ = 324884737280.

The previous prime is 1369792311623. The next prime is 1369792311697. The reversal of 1369792311690 is 961132979631.

It is a super-2 number, since 2×13697923116902 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1369792311690.

It is not an unprimeable number, because it can be changed into a prime (1369792311697) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45848137 + ... + 45878003.

It is an arithmetic number, because the mean of its divisors is an integer number (28625252256).

Almost surely, 21369792311690 is an apocalyptic number.

1369792311690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1369792311690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832016144384).

1369792311690 is an abundant number, since it is smaller than the sum of its proper divisors (2294239977078).

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

1369792311690 is a wasteful number, since it uses less digits than its factorization.

1369792311690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32892.

The product of its (nonzero) digits is 3306744, while the sum is 57.

The spelling of 1369792311690 in words is "one trillion, three hundred sixty-nine billion, seven hundred ninety-two million, three hundred eleven thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 47 55 66 94 110 141 165 235 282 330 470 517 705 1034 1410 1551 2585 2957 3102 5170 5914 7755 8871 14785 15510 17742 29570 29867 32527 44355 59734 65054 88710 89601 97581 138979 149335 162635 179202 195162 277958 298670 325270 328537 416937 448005 487905 657074 694895 833874 896010 975810 985611 1389790 1403749 1528769 1642685 1971222 2084685 2807498 3057538 3285370 4169370 4211247 4586307 4928055 7018745 7643845 8422494 9172614 9856110 14037490 15287690 15441239 21056235 22931535 30882478 42112470 45863070 46323717 77206195 88316719 92647434 154412390 176633438 231618585 264950157 441583595 463237170 529900314 883167190 971483909 1324750785 1942967818 2649501570 2914451727 4150885793 4857419545 5828903454 8301771586 9714839090 12452657379 14572258635 20754428965 24905314758 29144517270 41508857930 45659743723 62263286895 91319487446 124526573790 136979231169 228298718615 273958462338 456597437230 684896155845 1369792311690