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29111311104 = 283378312343
BaseRepresentation
bin11011000111001010…
…110101101100000000
32210010211001211101120
4123013022311230000
5434104443423404
621212404232240
72050256030061
oct330712655400
983124054346
1029111311104
11113896379a7
12578539b680
13298c22bc95
1415a23d4568
15b55ad39d9
hex6c72b5b00

29111311104 has 144 divisors (see below), whose sum is σ = 80537786112. Its totient is φ = 9326997504.

The previous prime is 29111311093. The next prime is 29111311109. The reversal of 29111311104 is 40111311192.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (29111311109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2352357 + ... + 2364699.

Almost surely, 229111311104 is an apocalyptic number.

29111311104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29111311104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40268893056).

29111311104 is an abundant number, since it is smaller than the sum of its proper divisors (51426475008).

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

29111311104 is a wasteful number, since it uses less digits than its factorization.

29111311104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12482 (or 12468 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 24.

Adding to 29111311104 its reverse (40111311192), we get a palindrome (69222622296).

The spelling of 29111311104 in words is "twenty-nine billion, one hundred eleven million, three hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 83 96 111 128 148 166 192 222 249 256 296 332 384 444 498 592 664 768 888 996 1184 1328 1776 1992 2368 2656 3071 3552 3984 4736 5312 6142 7104 7968 9213 9472 10624 12284 12343 14208 15936 18426 21248 24568 24686 28416 31872 36852 37029 49136 49372 63744 73704 74058 98272 98744 147408 148116 196544 197488 294816 296232 393088 394976 456691 589632 592464 786176 789952 913382 1024469 1179264 1184928 1370073 1579904 1826764 2048938 2358528 2369856 2740146 3073407 3159808 3653528 4097876 4739712 5480292 6146814 7307056 8195752 9479424 10960584 12293628 14614112 16391504 21921168 24587256 29228224 32783008 37905353 43842336 49174512 58456448 65566016 75810706 87684672 98349024 113716059 116912896 131132032 151621412 175369344 196698048 227432118 262264064 303242824 350738688 393396096 454864236 606485648 786792192 909728472 1212971296 1819456944 2425942592 3638913888 4851885184 7277827776 9703770368 14555655552 29111311104