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1135323648 = 2933174831
BaseRepresentation
bin100001110101011…
…1010101000000000
32221010022102021000
41003222322220000
54311120324043
6304353532000
740064043324
oct10352725000
92833272230
101135323648
11532951508
12278274000
1315129ab54
14aaad5984
1569a122d3
hex43abaa00

1135323648 has 160 divisors (see below), whose sum is σ = 3559057920. Its totient is φ = 356106240.

The previous prime is 1135323641. The next prime is 1135323649. The reversal of 1135323648 is 8463235311.

1135323648 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 3 + 2 + 3 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1135323641) 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, 232593 + ... + 237423.

It is an arithmetic number, because the mean of its divisors is an integer number (22244112).

Almost surely, 21135323648 is an apocalyptic number.

1135323648 is a gapful number since it is divisible by the number (18) 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 1135323648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779528960).

1135323648 is an abundant number, since it is smaller than the sum of its proper divisors (2423734272).

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

1135323648 is an equidigital number, since it uses as much as digits as its factorization.

1135323648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4875 (or 4853 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 1135323648 is about 33694.5640719686. The cubic root of 1135323648 is about 1043.2135707771.

Adding to 1135323648 its reverse (8463235311), we get a palindrome (9598558959).

The spelling of 1135323648 in words is "one billion, one hundred thirty-five million, three hundred twenty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 256 272 288 306 384 408 432 459 512 544 576 612 768 816 864 918 1088 1152 1224 1536 1632 1728 1836 2176 2304 2448 3264 3456 3672 4352 4608 4831 4896 6528 6912 7344 8704 9662 9792 13056 13824 14493 14688 19324 19584 26112 28986 29376 38648 39168 43479 57972 58752 77296 78336 82127 86958 115944 117504 130437 154592 164254 173916 231888 235008 246381 260874 309184 328508 347832 463776 492762 521748 618368 657016 695664 739143 927552 985524 1043496 1236736 1314032 1391328 1478286 1855104 1971048 2086992 2217429 2473472 2628064 2782656 2956572 3710208 3942096 4173984 4434858 5256128 5565312 5913144 7420416 7884192 8347968 8869716 10512256 11130624 11826288 15768384 16695936 17739432 21024512 22261248 23652576 31536768 33391872 35478864 42049024 47305152 63073536 66783744 70957728 94610304 126147072 141915456 189220608 283830912 378441216 567661824 1135323648