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11752444425711 = 3111877318970579
BaseRepresentation
bin1010101100000101010001…
…0001100111010111101111
31112121112010001120221100210
42223001110101213113233
53020023001233110321
640554555354553503
72322041346236223
oct253012421472757
945545101527323
1011752444425711
1138212025468a0
121399851a38893
13673334ba2752
142c8b6dab2783
15155a94a05b76
hexab0544675ef

11752444425711 has 16 divisors (see below), whose sum is σ = 17095376108160. Its totient is φ = 7122313804320.

The previous prime is 11752444425707. The next prime is 11752444425803.

11752444425711 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11752444425711 - 22 = 11752444425707 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11752444425811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8865781 + ... + 10104798.

It is an arithmetic number, because the mean of its divisors is an integer number (1068461006760).

Almost surely, 211752444425711 is an apocalyptic number.

11752444425711 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11752444425711 is a deficient number, since it is larger than the sum of its proper divisors (5342931682449).

11752444425711 is a wasteful number, since it uses less digits than its factorization.

11752444425711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18989366.

The product of its digits is 1254400, while the sum is 48.

The spelling of 11752444425711 in words is "eleven trillion, seven hundred fifty-two billion, four hundred forty-four million, four hundred twenty-five thousand, seven hundred eleven".

Divisors: 1 3 11 33 18773 56319 206503 619509 18970579 56911737 208676369 626029107 356134679567 1068404038701 3917481475237 11752444425711