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11277072375 = 353194013947
BaseRepresentation
bin10101000000010101…
…00111011111110111
31002002220210122002020
422200022213133313
5141043412304000
65103002444223
7546312351012
oct124012473767
932086718066
1011277072375
114867682428
122228803673
1310a94585ba
1478d9d6379
1546006eba0
hex2a02a77f7

11277072375 has 64 divisors (see below), whose sum is σ = 19806958080. Its totient is φ = 5682240000.

The previous prime is 11277072361. The next prime is 11277072377. The reversal of 11277072375 is 57327077211.

It is not a de Polignac number, because 11277072375 - 28 = 11277072119 is a prime.

It is a super-2 number, since 2×112770723752 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11277072377) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2855152 + ... + 2859098.

It is an arithmetic number, because the mean of its divisors is an integer number (309483720).

Almost surely, 211277072375 is an apocalyptic number.

11277072375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11277072375 is a deficient number, since it is larger than the sum of its proper divisors (8529885705).

11277072375 is a wasteful number, since it uses less digits than its factorization.

11277072375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4385 (or 4375 counting only the distinct ones).

The product of its (nonzero) digits is 144060, while the sum is 42.

The spelling of 11277072375 in words is "eleven billion, two hundred seventy-seven million, seventy-two thousand, three hundred seventy-five".

Divisors: 1 3 5 15 19 25 57 75 95 125 285 375 401 475 1203 1425 2005 2375 3947 6015 7125 7619 10025 11841 19735 22857 30075 38095 50125 59205 74993 98675 114285 150375 190475 224979 296025 374965 493375 571425 952375 1124895 1480125 1582747 1874825 2857125 4748241 5624475 7913735 9374125 23741205 28122375 30072193 39568675 90216579 118706025 150360965 197843375 451082895 593530125 751804825 2255414475 3759024125 11277072375