Search a number
-
+
11211104063520 = 253258761888653
BaseRepresentation
bin1010001100100100100111…
…1000000001000000100000
31110200202211010012020100200
42203021021320001000200
52432140320120013040
635502150552145200
72234655416131344
oct243111170010040
943622733166320
1011211104063520
113632669a75409
121310954098200
136342830a4aca
142aa898295624
1514695e8c6630
hexa3249e01020

11211104063520 has 144 divisors (see below), whose sum is σ = 38262302514072. Its totient is φ = 2989283143680.

The previous prime is 11211104063513. The next prime is 11211104063521. The reversal of 11211104063520 is 2536040111211.

11211104063520 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 1 + 1 + 0 + 4 + 0 + 635 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7151153098896 + 4059950964624 = 2674164^2 + 2014932^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (11211104063521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12171514 + ... + 13060166.

Almost surely, 211211104063520 is an apocalyptic number.

11211104063520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211104063520 is an abundant number, since it is smaller than the sum of its proper divisors (27051198450552).

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

11211104063520 is a wasteful number, since it uses less digits than its factorization.

11211104063520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897435 (or 897424 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 11211104063520 its reverse (2536040111211), we get a palindrome (13747144174731).

The spelling of 11211104063520 in words is "eleven trillion, two hundred eleven billion, one hundred four million, sixty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 8761 17522 26283 35044 43805 52566 70088 78849 87610 105132 131415 140176 157698 175220 210264 262830 280352 315396 350440 394245 420528 525660 630792 700880 788490 841056 888653 1051320 1261584 1401760 1576980 1777306 2102640 2523168 2665959 3153960 3554612 4205280 4443265 5331918 6307920 7109224 7997877 8886530 10663836 12615840 13329795 14218448 15995754 17773060 21327672 26659590 28436896 31991508 35546120 39989385 42655344 53319180 63983016 71092240 79978770 85310688 106638360 127966032 142184480 159957540 213276720 255932064 319915080 426553440 639830160 1279660320 7785488933 15570977866 23356466799 31141955732 38927444665 46712933598 62283911464 70069400397 77854889330 93425867196 116782333995 124567822928 140138800794 155709778660 186851734392 233564667990 249135645856 280277601588 311419557320 350347001985 373703468784 467129335980 560555203176 622839114640 700694003970 747406937568 934258671960 1121110406352 1245678229280 1401388007940 1868517343920 2242220812704 2802776015880 3737034687840 5605552031760 11211104063520