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11293307352 = 2332836432939
BaseRepresentation
bin10101000010010001…
…00011000111011000
31002011001100110021200
422201020203013120
5141112041313402
65104342434200
7546600346215
oct124110430730
932131313250
1011293307352
114875860a68
122232132960
1310ac9210b2
14791c20b0c
154616ca21c
hex2a12231d8

11293307352 has 96 divisors (see below), whose sum is σ = 31013236800. Its totient is φ = 3712033728.

The previous prime is 11293307327. The next prime is 11293307359. The reversal of 11293307352 is 25370339211.

It is a happy number.

11293307352 is a `hidden beast` number, since 11 + 293 + 3 + 0 + 7 + 352 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11293307359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3841099 + ... + 3844037.

It is an arithmetic number, because the mean of its divisors is an integer number (323054550).

Almost surely, 211293307352 is an apocalyptic number.

11293307352 is a gapful number since it is divisible by the number (12) 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 11293307352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15506618400).

11293307352 is an abundant number, since it is smaller than the sum of its proper divisors (19719929448).

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

11293307352 is a wasteful number, since it uses less digits than its factorization.

11293307352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677 (or 3670 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 11293307352 in words is "eleven billion, two hundred ninety-three million, three hundred seven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 643 664 747 996 1286 1494 1929 1992 2572 2939 2988 3858 5144 5787 5878 5976 7716 8817 11574 11756 15432 17634 23148 23512 26451 35268 46296 52902 53369 70536 105804 106738 160107 211608 213476 243937 320214 426952 480321 487874 640428 731811 960642 975748 1280856 1463622 1889777 1921284 1951496 2195433 2927244 3779554 3842568 4390866 5669331 5854488 7559108 8781732 11338662 15118216 17007993 17563464 22677324 34015986 45354648 68031972 136063944 156851491 313702982 470554473 627405964 941108946 1254811928 1411663419 1882217892 2823326838 3764435784 5646653676 11293307352