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11032444416 = 29377431381
BaseRepresentation
bin10100100011001010…
…11011111000000000
31001110212111020121110
422101211123320000
5140043301210131
65022423323320
7540252141660
oct122145337000
931425436543
1011032444416
114751588864
12217a8b0540
13106a877126
147693181a0
1544884c646
hex29195be00

11032444416 has 160 divisors (see below), whose sum is σ = 33659417088. Its totient is φ = 3145605120.

The previous prime is 11032444403. The next prime is 11032444421. The reversal of 11032444416 is 61444423011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7988046 + ... + 7989426.

Almost surely, 211032444416 is an apocalyptic number.

11032444416 is a gapful number since it is divisible by the number (16) 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 11032444416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16829708544).

11032444416 is an abundant number, since it is smaller than the sum of its proper divisors (22626972672).

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

11032444416 is an equidigital number, since it uses as much as digits as its factorization.

11032444416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 11032444416 its reverse (61444423011), we get a palindrome (72476867427).

The spelling of 11032444416 in words is "eleven billion, thirty-two million, four hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 743 768 896 1344 1381 1486 1536 1792 2229 2688 2762 2972 3584 4143 4458 5201 5376 5524 5944 8286 8916 9667 10402 10752 11048 11888 15603 16572 17832 19334 20804 22096 23776 29001 31206 33144 35664 38668 41608 44192 47552 58002 62412 66288 71328 77336 83216 88384 95104 116004 124824 132576 142656 154672 166432 176768 190208 232008 249648 265152 285312 309344 332864 353536 380416 464016 499296 530304 570624 618688 665728 707072 928032 998592 1026083 1060608 1141248 1237376 1331456 1856064 1997184 2052166 2121216 2474752 2662912 3078249 3712128 3994368 4104332 4949504 6156498 7182581 7424256 7988736 8208664 12312996 14365162 14848512 16417328 21547743 24625992 28730324 32834656 43095486 49251984 57460648 65669312 86190972 98503968 114921296 131338624 172381944 197007936 229842592 262677248 344763888 394015872 459685184 525354496 689527776 788031744 919370368 1379055552 1576063488 1838740736 2758111104 3677481472 5516222208 11032444416