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11422660602400 = 255259324078121
BaseRepresentation
bin1010011000111000101110…
…1000001010101000100000
31111102222212212010220220121
42212032023220022220200
52444122102103234100
640143255311050024
72256155115055465
oct246161350125040
944388785126817
1011422660602400
113704361138293
121345955b10914
1364b1c970b168
142b6c0711966c
1514c1e26c051a
hexa638ba0aa20

11422660602400 has 72 divisors (see below), whose sum is σ = 27932595926004. Its totient is φ = 4561359052800.

The previous prime is 11422660602373. The next prime is 11422660602461. The reversal of 11422660602400 is 420606622411.

It can be written as a sum of positive squares in 6 ways, for example, as 8504945672976 + 2917714929424 = 2916324^2 + 1708132^2 .

It is a super-2 number, since 2×114226606024002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11564661 + ... + 12513460.

Almost surely, 211422660602400 is an apocalyptic number.

11422660602400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11422660602400 is an abundant number, since it is smaller than the sum of its proper divisors (16509935323604).

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

11422660602400 is a wasteful number, since it uses less digits than its factorization.

11422660602400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24078734 (or 24078721 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 11422660602400 in words is "eleven trillion, four hundred twenty-two billion, six hundred sixty million, six hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 593 800 1186 2372 2965 4744 5930 9488 11860 14825 18976 23720 29650 47440 59300 94880 118600 237200 474400 24078121 48156242 96312484 120390605 192624968 240781210 385249936 481562420 601953025 770499872 963124840 1203906050 1926249680 2407812100 3852499360 4815624200 9631248400 14278325753 19262496800 28556651506 57113303012 71391628765 114226606024 142783257530 228453212048 285566515060 356958143825 456906424096 571133030120 713916287650 1142266060240 1427832575300 2284532120480 2855665150600 5711330301200 11422660602400