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11274920448 = 29311798447
BaseRepresentation
bin10101000000000100…
…11010001000000000
31002002202202022012020
422200002122020000
5141042334423243
65102444401440
7546255146121
oct124002321000
932082668166
1011274920448
114866442680
122227b46280
1310a8b83c7c
1478d5d6048
1545ec97283
hex2a009a200

11274920448 has 160 divisors (see below), whose sum is σ = 33186447360. Its totient is φ = 3372994560.

The previous prime is 11274920429. The next prime is 11274920477. The reversal of 11274920448 is 84402947211.

It is a super-2 number, since 2×112749204482 (a number of 21 digits) contains 22 as substring.

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, 1330561 + ... + 1339007.

It is an arithmetic number, because the mean of its divisors is an integer number (207415296).

Almost surely, 211274920448 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 11274920448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16593223680).

11274920448 is an abundant number, since it is smaller than the sum of its proper divisors (21911526912).

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

11274920448 is an equidigital number, since it uses as much as digits as its factorization.

11274920448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8558 (or 8542 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 11274920448 in words is "eleven billion, two hundred seventy-four million, nine hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 79 88 96 128 132 158 176 192 237 256 264 316 352 384 474 512 528 632 704 768 869 948 1056 1264 1408 1536 1738 1896 2112 2528 2607 2816 3476 3792 4224 5056 5214 5632 6952 7584 8447 8448 10112 10428 13904 15168 16894 16896 20224 20856 25341 27808 30336 33788 40448 41712 50682 55616 60672 67576 83424 92917 101364 111232 121344 135152 166848 185834 202728 222464 270304 278751 333696 371668 405456 444928 540608 557502 667313 667392 743336 810912 1081216 1115004 1334626 1334784 1486672 1621824 2001939 2162432 2230008 2669252 2973344 3243648 4003878 4324864 4460016 5338504 5946688 6487296 7340443 8007756 8920032 10677008 11893376 12974592 14680886 16015512 17840064 21354016 22021329 23786752 29361772 32031024 35680128 42708032 44042658 47573504 58723544 64062048 71360256 85416064 88085316 117447088 128124096 142720512 170832128 176170632 234894176 256248192 341664256 352341264 469788352 512496384 704682528 939576704 1024992768 1409365056 1879153408 2818730112 3758306816 5637460224 11274920448