Search a number
-
+
13506811230744 = 23321320681697759
BaseRepresentation
bin1100010010001100110010…
…1011110111101000011000
31202211020102220020121120100
43010203030223313220120
53232243422133340434
644420535440055400
72562556242106446
oct304431453675030
952736386217510
1013506811230744
11433822a8aa707
121621863904560
1376c8c0c87930
14349a39aa7b96
15186523247699
hexc48ccaf7a18

13506811230744 has 96 divisors (see below), whose sum is σ = 39396827433600. Its totient is φ = 4155735006720.

The previous prime is 13506811230721. The next prime is 13506811230763. The reversal of 13506811230744 is 44703211860531.

13506811230744 is a `hidden beast` number, since 1 + 3 + 506 + 81 + 1 + 23 + 0 + 7 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13506811230744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19008537 + ... + 19706295.

It is an arithmetic number, because the mean of its divisors is an integer number (410383619100).

Almost surely, 213506811230744 is an apocalyptic number.

It is an amenable number.

13506811230744 is an abundant number, since it is smaller than the sum of its proper divisors (25890016202856).

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

13506811230744 is a wasteful number, since it uses less digits than its factorization.

13506811230744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718465 (or 718458 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 13506811230744 in words is "thirteen trillion, five hundred six billion, eight hundred eleven million, two hundred thirty thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 20681 41362 62043 82724 124086 165448 186129 248172 268853 372258 496344 537706 697759 744516 806559 1075412 1395518 1489032 1613118 2093277 2150824 2419677 2791036 3226236 4186554 4839354 5582072 6279831 6452472 8373108 9070867 9678708 12559662 16746216 18141734 19357416 25119324 27212601 36283468 50238648 54425202 72566936 81637803 108850404 163275606 217700808 326551212 653102424 14430353879 28860707758 43291061637 57721415516 86582123274 115442831032 129873184911 173164246548 187594600427 259746369822 346328493096 375189200854 519492739644 562783801281 750378401708 1038985479288 1125567602562 1500756803416 1688351403843 2251135205124 3376702807686 4502270410248 6753405615372 13506811230744