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11019016608 = 2531792392683
BaseRepresentation
bin10100100001100100…
…01101100110100000
31001102221020001010020
422100302031212200
5140031332012413
65021223433440
7540030044565
oct122062154640
931387201106
1011019016608
114744a472a6
1221762b5880
131067b55292
1476762086c
15447598c23
hex290c8d9a0

11019016608 has 96 divisors (see below), whose sum is σ = 29219097600. Its totient is φ = 3635847936.

The previous prime is 11019016601. The next prime is 11019016691. The reversal of 11019016608 is 80661091011.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (11019016601) 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 15 ways as a sum of consecutive naturals, for example, 4105635 + ... + 4108317.

It is an arithmetic number, because the mean of its divisors is an integer number (304365600).

Almost surely, 211019016608 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 11019016608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14609548800).

11019016608 is an abundant number, since it is smaller than the sum of its proper divisors (18200080992).

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

11019016608 is a wasteful number, since it uses less digits than its factorization.

11019016608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The spelling of 11019016608 in words is "eleven billion, nineteen million, sixteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 179 239 358 478 537 716 717 956 1074 1432 1434 1912 2148 2683 2864 2868 3824 4296 5366 5728 5736 7648 8049 8592 10732 11472 16098 17184 21464 22944 32196 42781 42928 64392 85562 85856 128343 128784 171124 256686 257568 342248 480257 513372 641237 684496 960514 1026744 1282474 1368992 1440771 1921028 1923711 2053488 2564948 2881542 3842056 3847422 4106976 5129896 5763084 7684112 7694844 10259792 11526168 15368224 15389688 20519584 23052336 30779376 46104672 61558752 114781423 229562846 344344269 459125692 688688538 918251384 1377377076 1836502768 2754754152 3673005536 5509508304 11019016608