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11665322416416 = 253121513775171
BaseRepresentation
bin1010100111000000101101…
…1001100001100100100000
31112022012020101011022021210
42221300023121201210200
53012111040014311131
640450550343550120
72312535364335144
oct251601331414440
945265211138253
1011665322416416
113798265431819
121384998a5b340
1366805c3b6366
142c48670db224
1515369616c146
hexa9c0b661920

11665322416416 has 24 divisors (see below), whose sum is σ = 30621471343344. Its totient is φ = 3888440805440.

The previous prime is 11665322416411. The next prime is 11665322416421. The reversal of 11665322416416 is 61461422356611.

It is an interprime number because it is at equal distance from previous prime (11665322416411) and next prime (11665322416421).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (11665322416411) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 60756887490 + ... + 60756887681.

It is an arithmetic number, because the mean of its divisors is an integer number (1275894639306).

Almost surely, 211665322416416 is an apocalyptic number.

11665322416416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11665322416416 is an abundant number, since it is smaller than the sum of its proper divisors (18956148926928).

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

11665322416416 is a wasteful number, since it uses less digits than its factorization.

11665322416416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121513775184 (or 121513775176 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The spelling of 11665322416416 in words is "eleven trillion, six hundred sixty-five billion, three hundred twenty-two million, four hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 121513775171 243027550342 364541325513 486055100684 729082651026 972110201368 1458165302052 1944220402736 2916330604104 3888440805472 5832661208208 11665322416416