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11240716005 = 335419532131
BaseRepresentation
bin10100111011111111…
…11011011011100101
31002000101101112112000
422131333323123211
5141010110403010
65055223315513
7545361336531
oct123577733345
932011345460
1011240716005
114849100342
1222185abb99
1310a1a6935c
14788c50bc1
1545bc8c7c0
hex29dffb6e5

11240716005 has 64 divisors (see below), whose sum is σ = 20501994240. Its totient is φ = 5839948800.

The previous prime is 11240715991. The next prime is 11240716007. The reversal of 11240716005 is 50061704211.

It is a happy number.

11240716005 is a `hidden beast` number, since 1 + 12 + 40 + 7 + 1 + 600 + 5 = 666.

It is not a de Polignac number, because 11240716005 - 28 = 11240715749 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 11240716005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11240716007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5273790 + ... + 5275920.

It is an arithmetic number, because the mean of its divisors is an integer number (320343660).

Almost surely, 211240716005 is an apocalyptic number.

11240716005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11240716005 is a deficient number, since it is larger than the sum of its proper divisors (9261278235).

11240716005 is a wasteful number, since it uses less digits than its factorization.

11240716005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3139 (or 3133 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 11240716005 in words is "eleven billion, two hundred forty million, seven hundred sixteen thousand, five".

Divisors: 1 3 5 9 15 27 41 45 123 135 205 369 615 953 1107 1845 2131 2859 4765 5535 6393 8577 10655 14295 19179 25731 31965 39073 42885 57537 87371 95895 117219 128655 195365 262113 287685 351657 436855 586095 786339 1054971 1310565 1758285 2030843 2359017 3931695 5274855 6092529 10154215 11795085 18277587 30462645 54832761 83264563 91387935 249793689 274163805 416322815 749381067 1248968445 2248143201 3746905335 11240716005