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11322810048 = 2631119128069
BaseRepresentation
bin10101000101110010…
…00101111011000000
31002020002212100101010
422202321011323000
5141142114410143
65111315040520
7550406204004
oct124271057300
932202770333
1011322810048
114890481860
12223bba0140
1310b5a80904
14795b00704
154640a6a33
hex2a2e45ec0

11322810048 has 112 divisors (see below), whose sum is σ = 32854026240. Its totient is φ = 3413068800.

The previous prime is 11322810029. The next prime is 11322810119. The reversal of 11322810048 is 84001822311.

It is a junction number, because it is equal to n+sod(n) for n = 11322809997 and 11322810024.

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, 389358 + ... + 417426.

It is an arithmetic number, because the mean of its divisors is an integer number (293339520).

Almost surely, 211322810048 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 11322810048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16427013120).

11322810048 is an abundant number, since it is smaller than the sum of its proper divisors (21531216192).

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

11322810048 is a wasteful number, since it uses less digits than its factorization.

11322810048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28286 (or 28276 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 11322810048 in words is "eleven billion, three hundred twenty-two million, eight hundred ten thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 191 192 264 352 382 528 573 704 764 1056 1146 1528 2101 2112 2292 3056 4202 4584 6112 6303 8404 9168 12224 12606 16808 18336 25212 28069 33616 36672 50424 56138 67232 84207 100848 112276 134464 168414 201696 224552 308759 336828 403392 449104 617518 673656 898208 926277 1235036 1347312 1796416 1852554 2470072 2694624 3705108 4940144 5361179 5389248 7410216 9880288 10722358 14820432 16083537 19760576 21444716 29640864 32167074 42889432 58972969 59281728 64334148 85778864 117945938 128668296 171557728 176918907 235891876 257336592 343115456 353837814 471783752 514673184 707675628 943567504 1029346368 1415351256 1887135008 2830702512 3774270016 5661405024 11322810048