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11433311104 = 2717191312111
BaseRepresentation
bin10101010010111101…
…00111101110000000
31002111210210101022211
422221132213232000
5141403411423404
65130303311504
7553220353345
oct125136475600
932453711284
1011433311104
114937895946
122270bab594
131102930057
147a66667cc
1546db32b04
hex2a97a7b80

11433311104 has 128 divisors (see below), whose sum is σ = 25592371200. Its totient is φ = 5055897600.

The previous prime is 11433311093. The next prime is 11433311107. The reversal of 11433311104 is 40111333411.

11433311104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11433311107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5415009 + ... + 5417119.

It is an arithmetic number, because the mean of its divisors is an integer number (199940400).

Almost surely, 211433311104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11433311104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12796185600).

11433311104 is an abundant number, since it is smaller than the sum of its proper divisors (14159060096).

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

11433311104 is a wasteful number, since it uses less digits than its factorization.

11433311104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 11433311104 its reverse (40111333411), we get a palindrome (51544644515).

The spelling of 11433311104 in words is "eleven billion, four hundred thirty-three million, three hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 131 136 152 262 272 304 323 524 544 608 646 1048 1088 1216 1292 2096 2111 2176 2227 2432 2489 2584 4192 4222 4454 4978 5168 8384 8444 8908 9956 10336 16768 16888 17816 19912 20672 33776 35632 35887 39824 40109 41344 42313 67552 71264 71774 79648 80218 84626 135104 142528 143548 159296 160436 169252 270208 276541 285056 287096 318592 320872 338504 553082 574192 641744 677008 681853 1106164 1148384 1283488 1354016 1363706 2212328 2296768 2566976 2708032 2727412 4424656 4593536 4701197 5133952 5254279 5416064 5454824 8849312 9402394 10508558 10909648 17698624 18804788 21017116 21819296 35397248 37609576 42034232 43638592 75219152 84068464 87277184 89322743 150438304 168136928 178645486 300876608 336273856 357290972 601753216 672547712 714581944 1429163888 2858327776 5716655552 11433311104