Search a number
-
+
11393039973744 = 24331113184425019
BaseRepresentation
bin1010010111001010011000…
…0110011011110101110000
31111100011102112201002012000
42211302212012123311300
52443130421213124434
640121520150134000
72254056102633522
oct245624606336560
944304375632160
1011393039973744
1136a284105a5a0
12134006a051300
13648488b14060
142b55d7225a12
1514b55c032b99
hexa5ca619bd70

11393039973744 has 160 divisors (see below), whose sum is σ = 38419420166400. Its totient is φ = 3186864311040.

The previous prime is 11393039973727. The next prime is 11393039973761. The reversal of 11393039973744 is 44737993039311.

11393039973744 is a `hidden beast` number, since 1 + 139 + 3 + 0 + 399 + 73 + 7 + 44 = 666.

11393039973744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11393039973727) and next prime (11393039973761).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92150734 + ... + 92274285.

It is an arithmetic number, because the mean of its divisors is an integer number (240121376040).

Almost surely, 211393039973744 is an apocalyptic number.

It is an amenable number.

11393039973744 is an abundant number, since it is smaller than the sum of its proper divisors (27026380192656).

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

11393039973744 is a wasteful number, since it uses less digits than its factorization.

11393039973744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184425060 (or 184425048 counting only the distinct ones).

The product of its (nonzero) digits is 46294416, while the sum is 63.

The spelling of 11393039973744 in words is "eleven trillion, three hundred ninety-three billion, thirty-nine million, nine hundred seventy-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 33 36 39 44 48 52 54 66 72 78 88 99 104 108 117 132 143 144 156 176 198 208 216 234 264 286 297 312 351 396 429 432 468 528 572 594 624 702 792 858 936 1144 1188 1287 1404 1584 1716 1872 2288 2376 2574 2808 3432 3861 4752 5148 5616 6864 7722 10296 15444 20592 30888 61776 184425019 368850038 553275057 737700076 1106550114 1475400152 1659825171 2028675209 2213100228 2397525247 2950800304 3319650342 4057350418 4426200456 4795050494 4979475513 6086025627 6639300684 7192575741 8114700836 8852400912 9590100988 9958951026 12172051254 13278601368 14385151482 16229401672 18258076881 19180201976 19917902052 21577727223 24344102508 26372777717 26557202736 28770302964 32458803344 36516153762 38360403952 39835804104 43155454446 48688205016 52745555434 54774230643 57540605928 64733181669 73032307524 79118333151 79671608208 86310908892 97376410032 105491110868 109548461286 115081211856 129466363338 146064615048 158236666302 172621817784 210982221736 219096922572 237354999453 258932726676 292129230096 316473332604 345243635568 421964443472 438193845144 474709998906 517865453352 632946665208 712064998359 876387690288 949419997812 1035730906704 1265893330416 1424129996718 1898839995624 2848259993436 3797679991248 5696519986872 11393039973744