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11071347440 = 245314464253
BaseRepresentation
bin10100100111110011…
…10101101011110000
31001120120200201112012
422103321311223300
5140133231104230
65030333222052
7541233620606
oct122371655360
931516621465
1011071347440
11477153a21a
12218b931928
13107594857a
14770563876
1544be84395
hex293e75af0

11071347440 has 40 divisors (see below), whose sum is σ = 26571239808. Its totient is φ = 4285681920.

The previous prime is 11071347433. The next prime is 11071347457. The reversal of 11071347440 is 4474317011.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 11071347397 and 11071347406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2229647 + ... + 2234606.

Almost surely, 211071347440 is an apocalyptic number.

11071347440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11071347440 is an abundant number, since it is smaller than the sum of its proper divisors (15499892368).

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

11071347440 is a wasteful number, since it uses less digits than its factorization.

11071347440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4464297 (or 4464291 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The spelling of 11071347440 in words is "eleven billion, seventy-one million, three hundred forty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 4464253 8928506 17857012 22321265 35714024 44642530 71428048 89285060 138391843 178570120 276783686 357140240 553567372 691959215 1107134744 1383918430 2214269488 2767836860 5535673720 11071347440