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11012635680 = 253528018191
BaseRepresentation
bin10100100000110011…
…10111110000100000
31001102111012212010120
422100121313300200
5140023213320210
65020435000240
7536621600364
oct122031676040
931374185116
1011012635680
114741389202
122174139080
13106672ca97
1476683d2a4
15446c38270
hex290677c20

11012635680 has 96 divisors (see below), whose sum is σ = 34706423808. Its totient is φ = 2935296000.

The previous prime is 11012635663. The next prime is 11012635691. The reversal of 11012635680 is 8653621011.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1340385 + ... + 1348575.

It is an arithmetic number, because the mean of its divisors is an integer number (361525248).

Almost surely, 211012635680 is an apocalyptic number.

11012635680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11012635680 is an abundant number, since it is smaller than the sum of its proper divisors (23693788128).

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

11012635680 is a wasteful number, since it uses less digits than its factorization.

11012635680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11010 (or 11002 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 11012635680 in words is "eleven billion, twelve million, six hundred thirty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2801 5602 8191 8403 11204 14005 16382 16806 22408 24573 28010 32764 33612 40955 42015 44816 49146 56020 65528 67224 81910 84030 89632 98292 112040 122865 131056 134448 163820 168060 196584 224080 245730 262112 268896 327640 336120 393168 448160 491460 655280 672240 786336 982920 1310560 1344480 1965840 3931680 22942991 45885982 68828973 91771964 114714955 137657946 183543928 229429910 275315892 344144865 367087856 458859820 550631784 688289730 734175712 917719640 1101263568 1376579460 1835439280 2202527136 2753158920 3670878560 5506317840 11012635680