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11264933975 = 5217375691259
BaseRepresentation
bin10100111110111000…
…10100000001010111
31002002001221221022212
422133130110001113
5141032310341400
65101450344035
7546104234051
oct123734240127
932061857285
1011264933975
114860841699
12222472b01b
1310a6a98609
1478c1568d1
1545de73335
hex29f714057

11264933975 has 48 divisors (see below), whose sum is σ = 15228712800. Its totient is φ = 8231546880.

The previous prime is 11264933957. The next prime is 11264934007. The reversal of 11264933975 is 57933946211.

11264933975 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11264933975 - 210 = 11264932951 is a prime.

It is a super-2 number, since 2×112649339752 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 8946896 + ... + 8948154.

It is an arithmetic number, because the mean of its divisors is an integer number (317264850).

Almost surely, 211264933975 is an apocalyptic number.

11264933975 is a deficient number, since it is larger than the sum of its proper divisors (3963778825).

11264933975 is a wasteful number, since it uses less digits than its factorization.

11264933975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1887 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 50.

The spelling of 11264933975 in words is "eleven billion, two hundred sixty-four million, nine hundred thirty-three thousand, nine hundred seventy-five".

Divisors: 1 5 17 25 37 85 185 425 569 629 925 1259 2845 3145 6295 9673 14225 15725 21053 21403 31475 46583 48365 105265 107015 232915 241825 357901 526325 535075 716371 791911 1164575 1789505 3581855 3959555 8947525 12178307 17909275 19797775 26505727 60891535 132528635 304457675 450597359 662643175 2252986795 11264933975