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11064967728 = 243536017237
BaseRepresentation
bin10100100111000011…
…00000001000110000
31001120010200121012120
422103201200020300
5140130112431403
65025544354240
7541125450063
oct122341401060
931503617176
1011064967728
114768982031
122189775980
1310745237a9
1476d7828da
1544b623e53
hex293860230

11064967728 has 80 divisors (see below), whose sum is σ = 29176320096. Its totient is φ = 3612211200.

The previous prime is 11064967717. The next prime is 11064967763. The reversal of 11064967728 is 82776946011.

It is an unprimeable number.

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, 1525326 + ... + 1532562.

Almost surely, 211064967728 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 11064967728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14588160048).

11064967728 is an abundant number, since it is smaller than the sum of its proper divisors (18111352368).

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

11064967728 is a wasteful number, since it uses less digits than its factorization.

11064967728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7902 (or 7896 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 11064967728 in words is "eleven billion, sixty-four million, nine hundred sixty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 601 636 848 1202 1272 1803 2404 2544 3606 4808 7212 7237 9616 14424 14474 21711 28848 28948 31853 43422 57896 63706 86844 95559 115792 127412 173688 191118 254824 347376 382236 383561 509648 764472 767122 1150683 1528944 1534244 2301366 3068488 4349437 4602732 6136976 8698874 9205464 13048311 17397748 18410928 26096622 34795496 52193244 69590992 104386488 208772976 230520161 461040322 691560483 922080644 1383120966 1844161288 2766241932 3688322576 5532483864 11064967728