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11058884736 = 273412113329
BaseRepresentation
bin10100100110010100…
…10011000010000000
31001112201020112220120
422103022103002000
5140122033302421
65025210140240
7541022653314
oct122312230200
931481215816
1011058884736
1147654a7869
122187721680
1310731a3aa3
1476ca3bb44
1544ad218c6
hex293293080

11058884736 has 128 divisors (see below), whose sum is σ = 30243326400. Its totient is φ = 3578265600.

The previous prime is 11058884731. The next prime is 11058884807. The reversal of 11058884736 is 63748885011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (11058884731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3320320 + ... + 3323648.

Almost surely, 211058884736 is an apocalyptic number.

11058884736 is a gapful number since it is divisible by the number (16) 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 11058884736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15121663200).

11058884736 is an abundant number, since it is smaller than the sum of its proper divisors (19184441664).

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

11058884736 is a wasteful number, since it uses less digits than its factorization.

11058884736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3598 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 11058884736 in words is "eleven billion, fifty-eight million, eight hundred eighty-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 211 246 328 384 422 492 633 656 844 984 1266 1312 1688 1968 2532 2624 3329 3376 3936 5064 5248 6658 6752 7872 8651 9987 10128 13316 13504 15744 17302 19974 20256 25953 26632 27008 34604 39948 40512 51906 53264 69208 79896 81024 103812 106528 136489 138416 159792 207624 213056 272978 276832 319584 409467 415248 426112 545956 553664 639168 702419 818934 830496 1091912 1107328 1278336 1404838 1637868 1660992 2107257 2183824 2809676 3275736 3321984 4214514 4367648 5619352 6551472 8429028 8735296 11238704 13102944 16858056 17470592 22477408 26205888 28799179 33716112 44954816 52411776 57598358 67432224 86397537 89909632 115196716 134864448 172795074 230393432 269728896 345590148 460786864 691180296 921573728 1382360592 1843147456 2764721184 3686294912 5529442368 11058884736