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11087294720 = 28553163433
BaseRepresentation
bin10100101001101101…
…01011000100000000
31001121200200221002012
422110312223010000
5140201321412340
65032103112052
7541516310255
oct122466530400
931550627065
1011087294720
11477a541697
122195142628
131079040128
1477271542c
1544d584565
hex294dab100

11087294720 has 72 divisors (see below), whose sum is σ = 27058786776. Its totient is φ = 4351213568.

The previous prime is 11087294707. The next prime is 11087294807. The reversal of 11087294720 is 2749278011.

It can be written as a sum of positive squares in 4 ways, for example, as 5147201536 + 5940093184 = 71744^2 + 77072^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 13877 + ... + 149556.

It is an arithmetic number, because the mean of its divisors is an integer number (375816483).

Almost surely, 211087294720 is an apocalyptic number.

11087294720 is a gapful number since it is divisible by the number (10) 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 11087294720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13529393388).

11087294720 is an abundant number, since it is smaller than the sum of its proper divisors (15971492056).

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

11087294720 is an equidigital number, since it uses as much as digits as its factorization.

11087294720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163507 (or 163493 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 41.

The spelling of 11087294720 in words is "eleven billion, eighty-seven million, two hundred ninety-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 256 265 320 424 530 640 848 1060 1280 1696 2120 3392 4240 6784 8480 13568 16960 33920 67840 163433 326866 653732 817165 1307464 1634330 2614928 3268660 5229856 6537320 8661949 10459712 13074640 17323898 20919424 26149280 34647796 41838848 43309745 52298560 69295592 86619490 104597120 138591184 173238980 209194240 277182368 346477960 554364736 692955920 1108729472 1385911840 2217458944 2771823680 5543647360 11087294720