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1107136448 = 2611341317
BaseRepresentation
bin100000111111101…
…1000111111000000
32212011021100200122
41001333120333000
54231411331243
6301505435412
736302335025
oct10177307700
92764240618
101107136448
11518a4a000
1226a93bb68
131484ac032
14a707954c
15672e5668
hex41fd8fc0

1107136448 has 112 divisors (see below), whose sum is σ = 2483254368. Its totient is φ = 489420800.

The previous prime is 1107136439. The next prime is 1107136463. The reversal of 1107136448 is 8446317011.

It is a happy number.

It is a super-2 number, since 2×11071364482 = 2451502228980113408, which contains 22 as substring.

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, 3492386 + ... + 3492702.

It is an arithmetic number, because the mean of its divisors is an integer number (22171914).

Almost surely, 21107136448 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 1107136448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241627184).

1107136448 is an abundant number, since it is smaller than the sum of its proper divisors (1376117920).

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

1107136448 is an equidigital number, since it uses as much as digits as its factorization.

1107136448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 1107136448 is about 33273.6599730177. The cubic root of 1107136448 is about 1034.5076728389.

The spelling of 1107136448 in words is "one billion, one hundred seven million, one hundred thirty-six thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 121 164 176 242 317 328 352 451 484 634 656 704 902 968 1268 1312 1331 1804 1936 2536 2624 2662 3487 3608 3872 4961 5072 5324 6974 7216 7744 9922 10144 10648 12997 13948 14432 19844 20288 21296 25994 27896 28864 38357 39688 42592 51988 54571 55792 76714 79376 85184 103976 109142 111584 142967 153428 158752 207952 218284 223168 285934 306856 317504 415904 421927 436568 571868 613712 831808 843854 873136 1143736 1227424 1572637 1687708 1746272 2287472 2454848 3145274 3375416 3492544 4574944 6290548 6750832 9149888 12581096 13501664 17299007 25162192 27003328 34598014 50324384 69196028 100648768 138392056 276784112 553568224 1107136448