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11146935668 = 22112947185869
BaseRepresentation
bin10100110000110100…
…01011110101110100
31001202211221000002012
422120122023311310
5140312103420133
65042033303352
7543142250501
oct123032136564
931684830065
1011146935668
114800177830
1221b1104b58
1310884c282b
1477a5dc4a8
15453915b48
hex29868bd74

11146935668 has 48 divisors (see below), whose sum is σ = 22482835200. Its totient is φ = 4787959680.

The previous prime is 11146935641. The next prime is 11146935689. The reversal of 11146935668 is 86653964111.

11146935668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 32963 + ... + 152906.

It is an arithmetic number, because the mean of its divisors is an integer number (468392400).

Almost surely, 211146935668 is an apocalyptic number.

It is an amenable number.

11146935668 is an abundant number, since it is smaller than the sum of its proper divisors (11335899532).

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

11146935668 is a wasteful number, since it uses less digits than its factorization.

11146935668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185960 (or 185958 counting only the distinct ones).

The product of its digits is 933120, while the sum is 50.

The spelling of 11146935668 in words is "eleven billion, one hundred forty-six million, nine hundred thirty-five thousand, six hundred sixty-eight".

Divisors: 1 2 4 11 22 29 44 47 58 94 116 188 319 517 638 1034 1276 1363 2068 2726 5452 14993 29986 59972 185869 371738 743476 2044559 4089118 5390201 8178236 8735843 10780402 17471686 21560804 34943372 59292211 96094273 118584422 192188546 237168844 253339447 384377092 506678894 1013357788 2786733917 5573467834 11146935668